02413_03412_03421_04231_04312_04321_12403_13402_14302<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 111, 548, 2789, 14464, 76117, 405569, 2184174, 11871575, 65041677, 358837722, 1991903847, 11117465262, 62353546022, 351254858858, 1986583021231, 11276020351799, 64214251522561, 366785444887893, 2100830008573738, 12063497402812723, 69434443949957444, 400517113832878116, 2314964975706987429, 13405550885681222911, 77765578953081521837, 451859553833771122631, 2629591127386361930159, 15325021348007835210335, 89434488524319220659960, 522596114126398658351138, 3057408579886179331480513, 17907641791076355911472796, 105001291747217717012332564, 616308193615895632301465870, 3620977695878462576952618553, 21294015313744583787402223143, 125335403103078128673976808512, 738340146141799749963222599006, 4353003192549407478931945602690, 25683585271681589144217934258900, 151649810398363145667842121919643, 896053601230243030999130122928082, 5298088312199980029942279820992813, 31346240381948788940817792312125095, 185575863596529656258546474633776061, 1099301074809126748009849742777480081, 6515697747104228328855838528785279799, 38640690115033715652220567800808794339, 229276511117915571848626768131074049109, 1361120477439176471033780667786895249334, 8084402072547745167938222585143304824295, 48040333910949020068977955078693698638347, 285603641267726003072259470344760739317893, 1698690559391273660387217106363870850736658, 10107672408870225172542020169493032872996813, 60168371156465993911054654971160021512392121, 358310654206899974833526171666229945542328113, 2134617164816063421107794448443895230036411292, 12721659883210768937330619635399753196261109699, 75844835931268923489068835397747921751156413284, 452336757311898367474385400221689873881466687698, 2698651260379811218363838813722043161308044846781, 16105576241320435756320307629081439970063663339510, 96149311112196866420227309893674131682726183170952, 574185818828151140891971674740387222388986186749918, 3429977447187076353238125972021612542732627890801877, 20495517396362444958760815034950733303890606097499343, 122504426750304602196880950595672252296955495029503047, 732430720910189703473067256787912722603592157444194307, 4380260412046400478459186644403297236729089497895936126, 26202865247280554775127658250593259717168443799216316851, 156787017203196060047979541687306709075943739962843719544, 938384829577226137541009594687850196390656216298901038254, 5617701232105341751728787562704962266310429858605795997884, 33638792466039622438911535224056920013912562818150936503407, 201476164530952526357645320019599817745243821168190458996422, 1206996423848299813572194488723239579310109311404442782981907, 7232441463655935176973044591182211488992501764253072533583359, 43346915214348183128382814992127706529837937876991866974533220, 259850502991944137051136836543551433115094936621219572545703853, 1558040969127494671119113842956738301959894624635435882709461713, 9343768179112880950449800718674015549135986313482601178877604777, 56046836136940779005843651043750514510778335523883288904293015243, 336251380440907246050481903745587602453817953049396004019801825797, 2017711669697078935908313263249960813341400345781864018408923830952, 12109727782395633352703397006471324211851299541798870204715074323949, 72692256317334886513558106054597775189204914483193334926140063488626, 436434141310031023422221169171825894960006343559306943922335959695711, 2620743058201531299022503167432955437493499876288635488586494313052915, 15739964257317834490243207512492829549429836160022243560712638263289600, 94548593310092922054290085540476870470477264009827234501500306132339808, 568037416295547698073413172948659656773912399614702748279820226331256755, 3413248527771252994608800469673733777300107735764298848463098865631780578, 20512876976151069374777695153857106366337025762169388725118054736380995708, 123296734927032244579246640694434191383529785041030700519138238997376162453, 741210554900006168469214654935603649553359465022822510927078923074667134946<br /><br />


















  Specification 1<br />
  Strategy pack name: insertion_point_placements_req_corrob_symmetries<br />
  Tree: http://www.permpal.com/tree/24504/<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[13,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[13,x]*F[8,x]<br />
  
    F[8,x] = F[1336,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]+F[1335,x]<br />
  
    F[10,x] = F[11,x]+F[19,x]<br />
  
    F[11,x] = F[12,x]<br />
  
    F[12,x] = F[13,x]*F[14,x]<br />
  
    F[13,x] = x<br />
  
    F[14,x] = F[15,x]+F[16,x]<br />
  
    F[15,x] = F[1,x]+F[11,x]<br />
  
    F[16,x] = F[13,x]+F[17,x]<br />
  
    F[17,x] = F[18,x]<br />
  
    F[18,x] = F[11,x]*F[13,x]<br />
  
    F[19,x] = F[2,x]+F[20,x]<br />
  
    F[20,x] = F[21,x]<br />
  
    F[21,x] = F[13,x]*F[22,x]<br />
  
    F[22,x] = F[23,x]+F[788,x]<br />
  
    F[23,x] = F[15,x]*F[24,x]<br />
  
    F[24,x] = F[2,x]+F[25,x]<br />
  
    F[25,x] = F[26,x]<br />
  
    F[26,x] = F[13,x]*F[27,x]<br />
  
    F[27,x] = F[28,x]+F[32,x]<br />
  
    F[28,x] = F[29,x]+F[30,x]<br />
  
    F[29,x] = 2*F[13,x]<br />
  
    F[30,x] = F[25,x]+F[31,x]<br />
  
    F[31,x] = F[13,x]*F[2,x]<br />
  
    F[32,x] = F[33,x]+F[42,x]<br />
  
    F[33,x] = F[34,x]+F[41,x]<br />
  
    F[34,x] = F[35,x]<br />
  
    F[35,x] = F[13,x]*F[36,x]<br />
  
    F[36,x] = F[37,x]+F[40,x]<br />
  
    F[37,x] = F[38,x]<br />
  
    F[38,x] = F[13,x]*F[39,x]<br />
  
    F[39,x] = F[1,x]+F[37,x]<br />
  
    F[40,x] = F[2,x]*F[39,x]<br />
  
    F[41,x] = F[13,x]*F[2,x]<br />
  
    F[42,x] = F[43,x]+F[773,x]<br />
  
    F[43,x] = F[44,x]<br />
  
    F[44,x] = F[13,x]*F[45,x]<br />
  
    F[45,x] = F[46,x]+F[47,x]<br />
  
    F[46,x] = F[2,x]*F[37,x]<br />
  
    F[47,x] = F[48,x]+F[6,x]<br />
  
    F[48,x] = F[37,x]*F[49,x]<br />
  
    F[49,x] = F[50,x]<br />
  
    F[50,x] = F[13,x]*F[51,x]<br />
  
    F[51,x] = F[52,x]+F[768,x]<br />
  
    F[52,x] = F[0,x]*F[53,x]<br />
  
    F[53,x] = F[2,x]+F[54,x]<br />
  
    F[54,x] = F[37,x]+F[55,x]<br />
  
    F[55,x] = F[56,x]<br />
  
    F[56,x] = F[13,x]*F[57,x]<br />
  
    F[57,x] = F[58,x]+F[61,x]<br />
  
    F[58,x] = F[59,x]<br />
  
    F[59,x] = F[15,x]*F[37,x]*F[60,x]<br />
  
    F[60,x] = F[1,x]+F[13,x]<br />
  
    F[61,x] = F[62,x]+F[767,x]<br />
  
    F[62,x] = -F[766,x]+F[63,x]<br />
  
    F[63,x] = -F[764,x]+F[64,x]<br />
  
    F[64,x] = 1/F[13,x]*F[65,x]<br />
  
    F[65,x] = F[66,x]<br />
  
    F[66,x] = F[67,x]<br />
  
    F[67,x] = F[13,x]*F[68,x]<br />
  
    F[68,x] = F[69,x]+F[762,x]<br />
  
    F[69,x] = F[70,x]+F[97,x]<br />
  
    F[70,x] = F[2,x]+F[71,x]<br />
  
    F[71,x] = F[72,x]<br />
  
    F[72,x] = F[13,x]*F[73,x]<br />
  
    F[73,x] = F[2,x]+F[74,x]<br />
  
    F[74,x] = F[75,x]+F[88,x]<br />
  
    F[75,x] = F[76,x]+F[87,x]<br />
  
    F[76,x] = F[37,x]+F[77,x]<br />
  
    F[77,x] = F[78,x]<br />
  
    F[78,x] = F[13,x]*F[79,x]<br />
  
    F[79,x] = F[80,x]+F[81,x]<br />
  
    F[80,x] = F[2,x]*F[39,x]<br />
  
    F[81,x] = F[0,x]*F[82,x]<br />
  
    F[82,x] = F[13,x]+F[83,x]<br />
  
    F[83,x] = F[84,x]+F[85,x]+F[86,x]<br />
  
    F[84,x] = 0<br />
  
    F[85,x] = F[13,x]*F[82,x]<br />
  
    F[86,x] = F[13,x]*F[37,x]<br />
  
    F[87,x] = F[88,x]+F[89,x]<br />
  
    F[88,x] = F[2,x]*F[37,x]<br />
  
    F[89,x] = F[90,x]<br />
  
    F[90,x] = F[13,x]*F[91,x]<br />
  
    F[91,x] = F[92,x]+F[94,x]<br />
  
    F[92,x] = F[6,x]+F[93,x]<br />
  
    F[93,x] = F[13,x]*F[5,x]<br />
  
    F[94,x] = F[95,x]+F[96,x]<br />
  
    F[95,x] = F[37,x]*F[6,x]<br />
  
    F[96,x] = F[5,x]*F[83,x]<br />
  
    F[97,x] = F[66,x]+F[98,x]<br />
  
    F[98,x] = F[99,x]<br />
  
    F[99,x] = F[100,x]*F[13,x]<br />
  
    F[100,x] = F[101,x]+F[106,x]<br />
  
    F[101,x] = F[102,x]<br />
  
    F[102,x] = F[103,x]*F[15,x]*F[60,x]<br />
  
    F[103,x] = F[104,x]+F[88,x]<br />
  
    F[104,x] = F[105,x]*F[13,x]<br />
  
    F[105,x] = F[2,x]+F[88,x]<br />
  
    F[106,x] = F[107,x]+F[746,x]<br />
  
    F[107,x] = -F[713,x]+F[108,x]<br />
  
    F[108,x] = -F[711,x]+F[109,x]<br />
  
    F[109,x] = 1/F[13,x]*F[110,x]<br />
  
    F[110,x] = F[111,x]<br />
  
    F[111,x] = -F[66,x]+F[112,x]<br />
  
    F[112,x] = -F[710,x]+F[113,x]<br />
  
    F[113,x] = -F[122,x]+F[114,x]<br />
  
    F[114,x] = -F[121,x]+F[115,x]<br />
  
    F[115,x] = 1/F[13,x]*F[116,x]<br />
  
    F[116,x] = F[117,x]<br />
  
    F[117,x] = -F[2,x]+F[118,x]<br />
  
    F[118,x] = -F[0,x]+F[119,x]<br />
  
    F[119,x] = 1/F[13,x]*F[120,x]<br />
  
    F[120,x] = F[2,x]<br />
  
    F[121,x] = F[119,x]*F[2,x]<br />
  
    F[122,x] = F[123,x]+F[705,x]<br />
  
    F[123,x] = F[124,x]+F[6,x]<br />
  
    F[124,x] = F[125,x]<br />
  
    F[125,x] = F[126,x]*F[13,x]<br />
  
    F[126,x] = F[127,x]+F[410,x]<br />
  
    F[127,x] = F[128,x]+F[182,x]<br />
  
    F[128,x] = F[129,x]*F[2,x]<br />
  
    F[129,x] = F[11,x]+F[130,x]<br />
  
    F[130,x] = F[131,x]+F[160,x]+F[84,x]<br />
  
    F[131,x] = F[13,x]*F[132,x]<br />
  
    F[132,x] = F[129,x]+F[133,x]<br />
  
    F[133,x] = F[134,x]+F[141,x]<br />
  
    F[134,x] = F[135,x]<br />
  
    F[135,x] = F[13,x]*F[136,x]<br />
  
    F[136,x] = F[137,x]+F[138,x]<br />
  
    F[137,x] = F[11,x]+F[134,x]<br />
  
    F[138,x] = F[139,x]+F[17,x]<br />
  
    F[139,x] = F[140,x]<br />
  
    F[140,x] = F[13,x]*F[134,x]<br />
  
    F[141,x] = 2*F[84,x]+F[142,x]+F[148,x]<br />
  
    F[142,x] = F[13,x]*F[143,x]<br />
  
    F[143,x] = F[144,x]+F[145,x]<br />
  
    F[144,x] = F[130,x]+F[141,x]<br />
  
    F[145,x] = F[146,x]+F[158,x]<br />
  
    F[146,x] = 2*F[84,x]+F[147,x]+F[148,x]<br />
  
    F[147,x] = F[13,x]*F[130,x]<br />
  
    F[148,x] = F[13,x]*F[149,x]<br />
  
    F[149,x] = F[150,x]+F[151,x]<br />
  
    F[150,x] = F[146,x]+F[17,x]<br />
  
    F[151,x] = F[152,x]+F[155,x]<br />
  
    F[152,x] = F[153,x]<br />
  
    F[153,x] = F[13,x]*F[154,x]<br />
  
    F[154,x] = F[17,x]<br />
  
    F[155,x] = F[156,x]<br />
  
    F[156,x] = F[13,x]*F[157,x]<br />
  
    F[157,x] = F[146,x]<br />
  
    F[158,x] = F[159,x]<br />
  
    F[159,x] = F[13,x]*F[141,x]<br />
  
    F[160,x] = F[13,x]*F[161,x]<br />
  
    F[161,x] = F[162,x]+F[163,x]<br />
  
    F[162,x] = F[11,x]+F[134,x]<br />
  
    F[163,x] = F[164,x]+F[173,x]<br />
  
    F[164,x] = F[165,x]<br />
  
    F[165,x] = F[13,x]*F[166,x]<br />
  
    F[166,x] = F[167,x]+F[168,x]<br />
  
    F[167,x] = F[13,x]+F[164,x]<br />
  
    F[168,x] = F[169,x]+F[171,x]<br />
  
    F[169,x] = F[170,x]<br />
  
    F[170,x] = x^2<br />
  
    F[171,x] = F[172,x]<br />
  
    F[172,x] = F[13,x]*F[164,x]<br />
  
    F[173,x] = F[174,x]<br />
  
    F[174,x] = F[13,x]*F[175,x]<br />
  
    F[175,x] = F[176,x]+F[177,x]<br />
  
    F[176,x] = F[17,x]+F[173,x]<br />
  
    F[177,x] = F[178,x]+F[180,x]<br />
  
    F[178,x] = F[179,x]<br />
  
    F[179,x] = F[13,x]*F[17,x]<br />
  
    F[180,x] = F[181,x]<br />
  
    F[181,x] = F[13,x]*F[173,x]<br />
  
    F[182,x] = F[183,x]+F[188,x]<br />
  
    F[183,x] = F[184,x]+F[187,x]<br />
  
    F[184,x] = F[185,x]*F[2,x]<br />
  
    F[185,x] = F[186,x]+F[2,x]<br />
  
    F[186,x] = F[0,x]*F[13,x]<br />
  
    F[187,x] = F[2,x]*F[20,x]<br />
  
    F[188,x] = F[189,x]+F[267,x]<br />
  
    F[189,x] = F[190,x]*F[2,x]<br />
  
    F[190,x] = F[191,x]+F[216,x]<br />
  
    F[191,x] = F[192,x]*F[2,x]<br />
  
    F[192,x] = F[193,x]<br />
  
    F[193,x] = F[13,x]*F[194,x]<br />
  
    F[194,x] = F[195,x]+F[196,x]<br />
  
    F[195,x] = F[1,x]+F[192,x]<br />
  
    F[196,x] = F[11,x]+F[197,x]<br />
  
    F[197,x] = F[198,x]+F[204,x]+F[84,x]<br />
  
    F[198,x] = F[13,x]*F[199,x]<br />
  
    F[199,x] = F[200,x]+F[201,x]<br />
  
    F[200,x] = F[192,x]+F[197,x]<br />
  
    F[201,x] = F[202,x]+F[214,x]<br />
  
    F[202,x] = F[203,x]+F[204,x]+F[84,x]<br />
  
    F[203,x] = F[13,x]*F[192,x]<br />
  
    F[204,x] = F[13,x]*F[205,x]<br />
  
    F[205,x] = F[206,x]+F[207,x]<br />
  
    F[206,x] = F[13,x]+F[202,x]<br />
  
    F[207,x] = F[208,x]+F[211,x]<br />
  
    F[208,x] = F[209,x]<br />
  
    F[209,x] = F[13,x]*F[210,x]<br />
  
    F[210,x] = F[13,x]<br />
  
    F[211,x] = F[212,x]<br />
  
    F[212,x] = F[13,x]*F[213,x]<br />
  
    F[213,x] = F[202,x]<br />
  
    F[214,x] = F[215,x]<br />
  
    F[215,x] = F[13,x]*F[197,x]<br />
  
    F[216,x] = F[0,x]*F[217,x]<br />
  
    F[217,x] = F[218,x]+F[266,x]+F[84,x]<br />
  
    F[218,x] = F[13,x]*F[219,x]<br />
  
    F[219,x] = F[220,x]+F[221,x]<br />
  
    F[220,x] = F[13,x]+F[217,x]<br />
  
    F[221,x] = F[222,x]+F[232,x]<br />
  
    F[222,x] = F[223,x]+F[229,x]+F[84,x]<br />
  
    F[223,x] = F[13,x]*F[224,x]<br />
  
    F[224,x] = F[225,x]+F[227,x]<br />
  
    F[225,x] = F[13,x]+F[226,x]<br />
  
    F[226,x] = F[164,x]<br />
  
    F[227,x] = F[228,x]+F[230,x]<br />
  
    F[228,x] = F[170,x]+F[229,x]+F[84,x]<br />
  
    F[229,x] = x^2<br />
  
    F[230,x] = F[231,x]<br />
  
    F[231,x] = F[13,x]*F[226,x]<br />
  
    F[232,x] = F[233,x]+F[246,x]+F[259,x]+F[84,x]<br />
  
    F[233,x] = F[13,x]*F[234,x]<br />
  
    F[234,x] = F[235,x]+F[244,x]<br />
  
    F[235,x] = F[217,x]+F[236,x]<br />
  
    F[236,x] = F[237,x]<br />
  
    F[237,x] = F[13,x]*F[238,x]<br />
  
    F[238,x] = F[235,x]+F[239,x]<br />
  
    F[239,x] = F[240,x]+F[242,x]<br />
  
    F[240,x] = F[241,x]<br />
  
    F[241,x] = F[13,x]*F[217,x]<br />
  
    F[242,x] = F[243,x]<br />
  
    F[243,x] = F[13,x]*F[236,x]<br />
  
    F[244,x] = F[245,x]+F[265,x]<br />
  
    F[245,x] = F[241,x]+F[246,x]+F[259,x]+F[84,x]<br />
  
    F[246,x] = F[13,x]*F[247,x]<br />
  
    F[247,x] = F[248,x]+F[249,x]<br />
  
    F[248,x] = F[228,x]+F[245,x]<br />
  
    F[249,x] = F[250,x]+F[254,x]<br />
  
    F[250,x] = F[231,x]+F[251,x]+F[253,x]+F[84,x]<br />
  
    F[251,x] = F[13,x]*F[252,x]<br />
  
    F[252,x] = F[227,x]<br />
  
    F[253,x] = 0<br />
  
    F[254,x] = F[243,x]+F[255,x]+F[257,x]+F[258,x]+F[84,x]<br />
  
    F[255,x] = F[13,x]*F[256,x]<br />
  
    F[256,x] = F[244,x]<br />
  
    F[257,x] = 0<br />
  
    F[258,x] = 0<br />
  
    F[259,x] = F[13,x]*F[260,x]<br />
  
    F[260,x] = F[18,x]+F[261,x]+F[84,x]<br />
  
    F[261,x] = F[13,x]*F[262,x]<br />
  
    F[262,x] = F[263,x]<br />
  
    F[263,x] = F[13,x]+F[264,x]<br />
  
    F[264,x] = F[18,x]<br />
  
    F[265,x] = F[243,x]<br />
  
    F[266,x] = F[11,x]*F[13,x]<br />
  
    F[267,x] = F[2,x]*F[268,x]<br />
  
    F[268,x] = F[269,x]<br />
  
    F[269,x] = F[13,x]*F[270,x]<br />
  
    F[270,x] = F[271,x]+F[274,x]<br />
  
    F[271,x] = F[19,x]*F[272,x]*F[60,x]<br />
  
    F[272,x] = F[11,x]+F[273,x]<br />
  
    F[273,x] = F[15,x]*F[192,x]<br />
  
    F[274,x] = F[275,x]+F[281,x]<br />
  
    F[275,x] = F[15,x]*F[276,x]<br />
  
    F[276,x] = F[277,x]+F[279,x]<br />
  
    F[277,x] = F[11,x]*F[278,x]<br />
  
    F[278,x] = F[2,x]+F[34,x]<br />
  
    F[279,x] = F[192,x]*F[280,x]<br />
  
    F[280,x] = F[24,x]+F[277,x]<br />
  
    F[281,x] = F[282,x]+F[408,x]<br />
  
    F[282,x] = F[11,x]*F[283,x]<br />
  
    F[283,x] = F[284,x]+F[402,x]<br />
  
    F[284,x] = -F[291,x]+F[285,x]<br />
  
    F[285,x] = -F[290,x]+F[286,x]<br />
  
    F[286,x] = -F[289,x]+F[287,x]<br />
  
    F[287,x] = 1/F[13,x]*F[288,x]<br />
  
    F[288,x] = F[20,x]<br />
  
    F[289,x] = F[19,x]*F[60,x]<br />
  
    F[290,x] = F[15,x]*F[24,x]<br />
  
    F[291,x] = F[292,x]+F[314,x]<br />
  
    F[292,x] = F[293,x]<br />
  
    F[293,x] = F[13,x]*F[294,x]<br />
  
    F[294,x] = F[295,x]+F[49,x]<br />
  
    F[295,x] = F[296,x]+F[49,x]<br />
  
    F[296,x] = -F[49,x]+F[297,x]<br />
  
    F[297,x] = -F[49,x]+F[298,x]<br />
  
    F[298,x] = 1/F[13,x]*F[299,x]<br />
  
    F[299,x] = F[300,x]<br />
  
    F[300,x] = F[301,x]<br />
  
    F[301,x] = F[13,x]*F[302,x]<br />
  
    F[302,x] = F[303,x]+F[304,x]<br />
  
    F[303,x] = F[28,x]*F[53,x]<br />
  
    F[304,x] = F[305,x]+F[306,x]<br />
  
    F[305,x] = F[33,x]*F[53,x]<br />
  
    F[306,x] = F[307,x]+F[308,x]<br />
  
    F[307,x] = F[2,x]*F[42,x]<br />
  
    F[308,x] = F[309,x]*F[54,x]<br />
  
    F[309,x] = F[300,x]+F[310,x]<br />
  
    F[310,x] = F[311,x]<br />
  
    F[311,x] = F[13,x]*F[312,x]<br />
  
    F[312,x] = F[313,x]+F[46,x]<br />
  
    F[313,x] = F[39,x]*F[49,x]<br />
  
    F[314,x] = F[315,x]<br />
  
    F[315,x] = F[13,x]*F[316,x]<br />
  
    F[316,x] = F[317,x]+F[354,x]<br />
  
    F[317,x] = F[318,x]*F[344,x]<br />
  
    F[318,x] = F[319,x]+F[330,x]<br />
  
    F[319,x] = F[11,x]+F[320,x]<br />
  
    F[320,x] = F[11,x]+F[321,x]<br />
  
    F[321,x] = F[322,x]+F[328,x]+F[84,x]<br />
  
    F[322,x] = F[13,x]*F[323,x]<br />
  
    F[323,x] = F[324,x]+F[325,x]<br />
  
    F[324,x] = F[11,x]+F[321,x]<br />
  
    F[325,x] = F[17,x]+F[326,x]<br />
  
    F[326,x] = F[327,x]<br />
  
    F[327,x] = F[13,x]*F[321,x]<br />
  
    F[328,x] = F[13,x]*F[329,x]<br />
  
    F[329,x] = F[16,x]<br />
  
    F[330,x] = F[20,x]+F[331,x]<br />
  
    F[331,x] = F[332,x]+F[333,x]<br />
  
    F[332,x] = F[11,x]*F[2,x]<br />
  
    F[333,x] = F[334,x]<br />
  
    F[334,x] = F[13,x]*F[15,x]*F[335,x]<br />
  
    F[335,x] = F[336,x]+F[337,x]<br />
  
    F[336,x] = F[20,x]*F[60,x]<br />
  
    F[337,x] = F[25,x]+F[338,x]<br />
  
    F[338,x] = F[339,x]<br />
  
    F[339,x] = F[13,x]*F[340,x]<br />
  
    F[340,x] = F[20,x]+F[341,x]<br />
  
    F[341,x] = F[342,x]+F[343,x]<br />
  
    F[342,x] = F[11,x]*F[2,x]<br />
  
    F[343,x] = -F[49,x]+F[284,x]<br />
  
    F[344,x] = 1/F[0,x]*F[345,x]<br />
  
    F[345,x] = -F[348,x]+F[346,x]<br />
  
    F[346,x] = 1/F[13,x]*F[347,x]<br />
  
    F[347,x] = F[292,x]<br />
  
    F[348,x] = F[349,x]+F[350,x]<br />
  
    F[349,x] = F[2,x]*F[344,x]<br />
  
    F[350,x] = F[351,x]+F[352,x]<br />
  
    F[351,x] = F[25,x]*F[6,x]<br />
  
    F[352,x] = F[353,x]*F[49,x]<br />
  
    F[353,x] = -F[25,x]+F[344,x]<br />
  
    F[354,x] = F[355,x]+F[386,x]<br />
  
    F[355,x] = F[344,x]*F[356,x]<br />
  
    F[356,x] = F[342,x]+F[357,x]<br />
  
    F[357,x] = F[358,x]+F[375,x]<br />
  
    F[358,x] = F[359,x]<br />
  
    F[359,x] = F[13,x]*F[360,x]<br />
  
    F[360,x] = F[361,x]+F[373,x]<br />
  
    F[361,x] = F[362,x]*F[60,x]<br />
  
    F[362,x] = F[363,x]+F[37,x]<br />
  
    F[363,x] = F[364,x]+F[366,x]+F[84,x]<br />
  
    F[364,x] = F[13,x]*F[365,x]<br />
  
    F[365,x] = F[11,x]+F[363,x]<br />
  
    F[366,x] = F[13,x]*F[367,x]<br />
  
    F[367,x] = F[362,x]+F[368,x]<br />
  
    F[368,x] = F[369,x]+F[83,x]<br />
  
    F[369,x] = 2*F[84,x]+F[370,x]+F[372,x]<br />
  
    F[370,x] = F[13,x]*F[371,x]<br />
  
    F[371,x] = F[264,x]+F[369,x]<br />
  
    F[372,x] = F[13,x]*F[363,x]<br />
  
    F[373,x] = F[278,x]*F[374,x]<br />
  
    F[374,x] = F[15,x]+F[362,x]<br />
  
    F[375,x] = F[376,x]<br />
  
    F[376,x] = F[13,x]*F[377,x]<br />
  
    F[377,x] = F[378,x]+F[382,x]<br />
  
    F[378,x] = F[362,x]*F[379,x]<br />
  
    F[379,x] = F[380,x]+F[381,x]<br />
  
    F[380,x] = F[11,x]*F[60,x]<br />
  
    F[381,x] = F[13,x]*F[15,x]<br />
  
    F[382,x] = F[374,x]*F[383,x]<br />
  
    F[383,x] = F[384,x]+F[385,x]<br />
  
    F[384,x] = F[11,x]*F[278,x]<br />
  
    F[385,x] = F[13,x]*F[15,x]*F[2,x]<br />
  
    F[386,x] = F[387,x]+F[392,x]<br />
  
    F[387,x] = F[25,x]*F[388,x]<br />
  
    F[388,x] = -F[356,x]+F[389,x]<br />
  
    F[389,x] = -F[318,x]+F[390,x]<br />
  
    F[390,x] = 1/F[13,x]*F[391,x]<br />
  
    F[391,x] = F[20,x]<br />
  
    F[392,x] = F[353,x]*F[393,x]<br />
  
    F[393,x] = 1/F[54,x]*F[394,x]<br />
  
    F[394,x] = -F[401,x]+F[395,x]<br />
  
    F[395,x] = -F[400,x]+F[396,x]<br />
  
    F[396,x] = -F[399,x]+F[397,x]<br />
  
    F[397,x] = 1/F[13,x]*F[398,x]<br />
  
    F[398,x] = F[343,x]<br />
  
    F[399,x] = F[318,x]*F[53,x]<br />
  
    F[400,x] = F[356,x]*F[53,x]<br />
  
    F[401,x] = F[2,x]*F[388,x]<br />
  
    F[402,x] = F[310,x]+F[403,x]<br />
  
    F[403,x] = F[404,x]<br />
  
    F[404,x] = F[13,x]*F[405,x]<br />
  
    F[405,x] = F[406,x]+F[407,x]<br />
  
    F[406,x] = F[20,x]*F[37,x]<br />
  
    F[407,x] = F[343,x]*F[39,x]<br />
  
    F[408,x] = F[192,x]*F[409,x]<br />
  
    F[409,x] = F[282,x]+F[285,x]<br />
  
    F[410,x] = F[411,x]+F[485,x]<br />
  
    F[411,x] = F[2,x]*F[412,x]<br />
  
    F[412,x] = F[342,x]+F[413,x]<br />
  
    F[413,x] = F[414,x]<br />
  
    F[414,x] = F[13,x]*F[15,x]*F[415,x]*F[60,x]<br />
  
    F[415,x] = F[416,x]+F[424,x]<br />
  
    F[416,x] = F[417,x]<br />
  
    F[417,x] = F[13,x]*F[418,x]<br />
  
    F[418,x] = F[419,x]+F[421,x]<br />
  
    F[419,x] = F[420,x]*F[60,x]<br />
  
    F[420,x] = F[2,x]+F[416,x]<br />
  
    F[421,x] = F[422,x]*F[423,x]<br />
  
    F[422,x] = F[37,x]+F[83,x]<br />
  
    F[423,x] = F[15,x]+F[420,x]<br />
  
    F[424,x] = F[425,x]+F[440,x]<br />
  
    F[425,x] = F[426,x]<br />
  
    F[426,x] = F[13,x]*F[427,x]<br />
  
    F[427,x] = F[428,x]+F[431,x]<br />
  
    F[428,x] = F[19,x]+F[429,x]<br />
  
    F[429,x] = F[268,x]+F[430,x]<br />
  
    F[430,x] = F[192,x]*F[2,x]<br />
  
    F[431,x] = F[432,x]+F[435,x]<br />
  
    F[432,x] = F[433,x]+F[434,x]<br />
  
    F[433,x] = F[15,x]*F[2,x]<br />
  
    F[434,x] = F[413,x]+F[425,x]<br />
  
    F[435,x] = -F[412,x]+F[436,x]<br />
  
    F[436,x] = -F[439,x]+F[437,x]<br />
  
    F[437,x] = 1/F[13,x]*F[438,x]<br />
  
    F[438,x] = F[6,x]<br />
  
    F[439,x] = F[129,x]+F[428,x]<br />
  
    F[440,x] = F[441,x]<br />
  
    F[441,x] = F[13,x]*F[442,x]<br />
  
    F[442,x] = F[443,x]+F[444,x]<br />
  
    F[443,x] = F[424,x]*F[60,x]<br />
  
    F[444,x] = F[422,x]*F[445,x]<br />
  
    F[445,x] = F[424,x]+F[446,x]<br />
  
    F[446,x] = F[192,x]+F[447,x]<br />
  
    F[447,x] = F[448,x]<br />
  
    F[448,x] = F[13,x]*F[449,x]<br />
  
    F[449,x] = F[450,x]+F[451,x]<br />
  
    F[450,x] = F[11,x]+F[447,x]<br />
  
    F[451,x] = F[452,x]+F[459,x]<br />
  
    F[452,x] = F[453,x]<br />
  
    F[453,x] = F[13,x]*F[454,x]<br />
  
    F[454,x] = F[455,x]+F[456,x]<br />
  
    F[455,x] = F[11,x]+F[452,x]<br />
  
    F[456,x] = F[264,x]+F[457,x]<br />
  
    F[457,x] = F[458,x]<br />
  
    F[458,x] = F[13,x]*F[452,x]<br />
  
    F[459,x] = 2*F[84,x]+F[460,x]+F[473,x]<br />
  
    F[460,x] = F[13,x]*F[461,x]<br />
  
    F[461,x] = F[462,x]+F[471,x]<br />
  
    F[462,x] = F[447,x]+F[463,x]<br />
  
    F[463,x] = F[464,x]<br />
  
    F[464,x] = F[13,x]*F[465,x]<br />
  
    F[465,x] = F[462,x]+F[466,x]<br />
  
    F[466,x] = F[467,x]+F[469,x]<br />
  
    F[467,x] = F[468,x]<br />
  
    F[468,x] = F[13,x]*F[447,x]<br />
  
    F[469,x] = F[470,x]<br />
  
    F[470,x] = F[13,x]*F[463,x]<br />
  
    F[471,x] = F[472,x]+F[484,x]<br />
  
    F[472,x] = 2*F[84,x]+F[468,x]+F[473,x]<br />
  
    F[473,x] = F[13,x]*F[474,x]<br />
  
    F[474,x] = F[475,x]+F[476,x]<br />
  
    F[475,x] = F[264,x]+F[472,x]<br />
  
    F[476,x] = F[477,x]+F[480,x]<br />
  
    F[477,x] = 2*F[84,x]+F[458,x]+F[478,x]<br />
  
    F[478,x] = F[13,x]*F[479,x]<br />
  
    F[479,x] = F[456,x]<br />
  
    F[480,x] = 2*F[84,x]+F[470,x]+F[481,x]+F[483,x]<br />
  
    F[481,x] = F[13,x]*F[482,x]<br />
  
    F[482,x] = F[471,x]<br />
  
    F[483,x] = 0<br />
  
    F[484,x] = F[470,x]<br />
  
    F[485,x] = F[486,x]+F[543,x]<br />
  
    F[486,x] = F[487,x]+F[516,x]<br />
  
    F[487,x] = F[488,x]+F[489,x]<br />
  
    F[488,x] = F[2,x]*F[49,x]<br />
  
    F[489,x] = F[0,x]*F[490,x]<br />
  
    F[490,x] = F[491,x]<br />
  
    F[491,x] = F[13,x]*F[492,x]<br />
  
    F[492,x] = F[493,x]+F[512,x]<br />
  
    F[493,x] = F[0,x]*F[494,x]<br />
  
    F[494,x] = F[25,x]+F[495,x]<br />
  
    F[495,x] = F[496,x]+F[497,x]<br />
  
    F[496,x] = F[86,x]<br />
  
    F[497,x] = F[498,x]<br />
  
    F[498,x] = F[13,x]*F[499,x]<br />
  
    F[499,x] = F[500,x]+F[55,x]<br />
  
    F[500,x] = -F[511,x]+F[501,x]<br />
  
    F[501,x] = -F[49,x]+F[502,x]<br />
  
    F[502,x] = 1/F[0,x]*F[503,x]<br />
  
    F[503,x] = -F[506,x]+F[504,x]<br />
  
    F[504,x] = 1/F[13,x]*F[505,x]<br />
  
    F[505,x] = F[296,x]<br />
  
    F[506,x] = F[507,x]+F[508,x]<br />
  
    F[507,x] = F[2,x]*F[502,x]<br />
  
    F[508,x] = F[509,x]+F[510,x]<br />
  
    F[509,x] = F[49,x]*F[6,x]<br />
  
    F[510,x] = F[49,x]*F[501,x]<br />
  
    F[511,x] = F[37,x]*F[54,x]<br />
  
    F[512,x] = F[513,x]+F[514,x]<br />
  
    F[513,x] = F[2,x]*F[494,x]<br />
  
    F[514,x] = F[351,x]+F[515,x]<br />
  
    F[515,x] = F[49,x]*F[495,x]<br />
  
    F[516,x] = F[2,x]*F[517,x]<br />
  
    F[517,x] = F[518,x]<br />
  
    F[518,x] = F[13,x]*F[519,x]<br />
  
    F[519,x] = F[520,x]+F[532,x]<br />
  
    F[520,x] = F[521,x]+F[526,x]<br />
  
    F[521,x] = F[522,x]+F[523,x]<br />
  
    F[522,x] = F[2,x]*F[319,x]<br />
  
    F[523,x] = F[524,x]<br />
  
    F[524,x] = F[525,x]*F[54,x]<br />
  
    F[525,x] = F[11,x]+F[381,x]<br />
  
    F[526,x] = F[527,x]+F[528,x]<br />
  
    F[527,x] = F[2,x]*F[330,x]<br />
  
    F[528,x] = F[529,x]<br />
  
    F[529,x] = F[530,x]*F[54,x]<br />
  
    F[530,x] = F[20,x]+F[531,x]<br />
  
    F[531,x] = F[13,x]*F[19,x]<br />
  
    F[532,x] = F[533,x]+F[539,x]<br />
  
    F[533,x] = F[534,x]+F[535,x]<br />
  
    F[534,x] = F[2,x]*F[356,x]<br />
  
    F[535,x] = F[536,x]<br />
  
    F[536,x] = F[537,x]*F[54,x]<br />
  
    F[537,x] = F[342,x]+F[538,x]<br />
  
    F[538,x] = F[15,x]*F[34,x]<br />
  
    F[539,x] = F[401,x]+F[540,x]<br />
  
    F[540,x] = F[541,x]<br />
  
    F[541,x] = F[54,x]*F[542,x]<br />
  
    F[542,x] = F[343,x]+F[402,x]<br />
  
    F[543,x] = F[544,x]+F[703,x]<br />
  
    F[544,x] = F[545,x]+F[601,x]<br />
  
    F[545,x] = F[2,x]*F[546,x]<br />
  
    F[546,x] = F[547,x]<br />
  
    F[547,x] = F[13,x]*F[548,x]<br />
  
    F[548,x] = F[549,x]+F[596,x]<br />
  
    F[549,x] = F[0,x]*F[550,x]<br />
  
    F[550,x] = F[425,x]+F[551,x]<br />
  
    F[551,x] = F[552,x]+F[594,x]<br />
  
    F[552,x] = F[364,x]+F[553,x]+F[84,x]<br />
  
    F[553,x] = F[13,x]*F[554,x]<br />
  
    F[554,x] = F[555,x]+F[556,x]<br />
  
    F[555,x] = F[37,x]+F[552,x]<br />
  
    F[556,x] = F[363,x]+F[557,x]<br />
  
    F[557,x] = F[558,x]+F[569,x]+F[582,x]+F[84,x]<br />
  
    F[558,x] = F[13,x]*F[559,x]<br />
  
    F[559,x] = F[452,x]+F[560,x]<br />
  
    F[560,x] = 2*F[84,x]+F[558,x]+F[561,x]<br />
  
    F[561,x] = F[13,x]*F[562,x]<br />
  
    F[562,x] = F[563,x]+F[564,x]<br />
  
    F[563,x] = F[363,x]+F[560,x]<br />
  
    F[564,x] = F[369,x]+F[565,x]<br />
  
    F[565,x] = 3*F[84,x]+F[566,x]+F[568,x]<br />
  
    F[566,x] = F[13,x]*F[567,x]<br />
  
    F[567,x] = F[457,x]+F[565,x]<br />
  
    F[568,x] = F[13,x]*F[560,x]<br />
  
    F[569,x] = F[13,x]*F[570,x]<br />
  
    F[570,x] = F[571,x]+F[580,x]<br />
  
    F[571,x] = F[552,x]+F[572,x]<br />
  
    F[572,x] = 2*F[84,x]+F[558,x]+F[573,x]<br />
  
    F[573,x] = F[13,x]*F[574,x]<br />
  
    F[574,x] = F[571,x]+F[575,x]<br />
  
    F[575,x] = F[576,x]+F[578,x]<br />
  
    F[576,x] = 2*F[84,x]+F[370,x]+F[577,x]<br />
  
    F[577,x] = F[13,x]*F[552,x]<br />
  
    F[578,x] = 3*F[84,x]+F[566,x]+F[579,x]<br />
  
    F[579,x] = F[13,x]*F[572,x]<br />
  
    F[580,x] = F[581,x]+F[593,x]<br />
  
    F[581,x] = F[370,x]+F[577,x]+F[582,x]+F[84,x]<br />
  
    F[582,x] = F[13,x]*F[583,x]<br />
  
    F[583,x] = F[584,x]+F[585,x]<br />
  
    F[584,x] = F[581,x]+F[83,x]<br />
  
    F[585,x] = F[586,x]+F[589,x]<br />
  
    F[586,x] = F[370,x]+F[372,x]+F[587,x]+F[84,x]<br />
  
    F[587,x] = F[13,x]*F[588,x]<br />
  
    F[588,x] = F[368,x]<br />
  
    F[589,x] = F[566,x]+F[579,x]+F[590,x]+F[592,x]+F[84,x]<br />
  
    F[590,x] = F[13,x]*F[591,x]<br />
  
    F[591,x] = F[580,x]<br />
  
    F[592,x] = 0<br />
  
    F[593,x] = 3*F[84,x]+F[566,x]+F[579,x]<br />
  
    F[594,x] = -F[55,x]+F[595,x]<br />
  
    F[595,x] = -F[555,x]+F[62,x]<br />
  
    F[596,x] = F[597,x]+F[598,x]<br />
  
    F[597,x] = F[2,x]*F[550,x]<br />
  
    F[598,x] = F[599,x]+F[600,x]<br />
  
    F[599,x] = F[425,x]*F[6,x]<br />
  
    F[600,x] = F[49,x]*F[551,x]<br />
  
    F[601,x] = F[0,x]*F[602,x]<br />
  
    F[602,x] = F[603,x]<br />
  
    F[603,x] = F[13,x]*F[604,x]<br />
  
    F[604,x] = F[605,x]+F[688,x]<br />
  
    F[605,x] = F[0,x]*F[606,x]<br />
  
    F[606,x] = 1/F[13,x]*F[607,x]<br />
  
    F[607,x] = F[608,x]<br />
  
    F[608,x] = 1/F[0,x]*F[609,x]<br />
  
    F[609,x] = -F[685,x]+F[610,x]<br />
  
    F[610,x] = -F[678,x]+F[611,x]<br />
  
    F[611,x] = -F[674,x]+F[612,x]<br />
  
    F[612,x] = -F[645,x]+F[613,x]<br />
  
    F[613,x] = 1/F[13,x]*F[614,x]<br />
  
    F[614,x] = F[615,x]<br />
  
    F[615,x] = F[13,x]*F[616,x]<br />
  
    F[616,x] = F[617,x]+F[621,x]<br />
  
    F[617,x] = F[618,x]<br />
  
    F[618,x] = F[13,x]*F[619,x]<br />
  
    F[619,x] = F[121,x]+F[620,x]<br />
  
    F[620,x] = F[0,x]*F[5,x]<br />
  
    F[621,x] = F[622,x]+F[624,x]<br />
  
    F[622,x] = F[623,x]<br />
  
    F[623,x] = F[2,x]^2<br />
  
    F[624,x] = F[625,x]<br />
  
    F[625,x] = F[13,x]*F[626,x]<br />
  
    F[626,x] = F[627,x]+F[628,x]<br />
  
    F[627,x] = F[119,x]*F[66,x]<br />
  
    F[628,x] = F[0,x]*F[629,x]<br />
  
    F[629,x] = -F[54,x]+F[630,x]<br />
  
    F[630,x] = -F[639,x]+F[631,x]<br />
  
    F[631,x] = -F[634,x]+F[632,x]<br />
  
    F[632,x] = 1/F[13,x]*F[633,x]<br />
  
    F[633,x] = F[66,x]<br />
  
    F[634,x] = F[635,x]+F[636,x]<br />
  
    F[635,x] = F[2,x]*F[60,x]<br />
  
    F[636,x] = F[637,x]+F[66,x]<br />
  
    F[637,x] = F[638,x]<br />
  
    F[638,x] = F[13,x]^2*F[632,x]<br />
  
    F[639,x] = F[640,x]+F[641,x]<br />
  
    F[640,x] = F[2,x]*F[422,x]<br />
  
    F[641,x] = F[642,x]+F[643,x]<br />
  
    F[642,x] = F[37,x]*F[66,x]<br />
  
    F[643,x] = F[644,x]<br />
  
    F[644,x] = F[13,x]*F[632,x]*F[83,x]<br />
  
    F[645,x] = F[646,x]+F[672,x]<br />
  
    F[646,x] = F[2,x]*F[647,x]<br />
  
    F[647,x] = F[13,x]+F[648,x]<br />
  
    F[648,x] = F[649,x]+F[671,x]+F[84,x]<br />
  
    F[649,x] = F[13,x]*F[650,x]<br />
  
    F[650,x] = F[647,x]+F[651,x]<br />
  
    F[651,x] = F[164,x]+F[652,x]<br />
  
    F[652,x] = 2*F[84,x]+F[653,x]+F[659,x]<br />
  
    F[653,x] = F[13,x]*F[654,x]<br />
  
    F[654,x] = F[655,x]+F[656,x]<br />
  
    F[655,x] = F[648,x]+F[652,x]<br />
  
    F[656,x] = F[657,x]+F[669,x]<br />
  
    F[657,x] = 2*F[84,x]+F[658,x]+F[659,x]<br />
  
    F[658,x] = F[13,x]*F[648,x]<br />
  
    F[659,x] = F[13,x]*F[660,x]<br />
  
    F[660,x] = F[661,x]+F[662,x]<br />
  
    F[661,x] = F[169,x]+F[657,x]<br />
  
    F[662,x] = F[663,x]+F[666,x]<br />
  
    F[663,x] = F[664,x]<br />
  
    F[664,x] = F[13,x]*F[665,x]<br />
  
    F[665,x] = F[169,x]<br />
  
    F[666,x] = F[667,x]<br />
  
    F[667,x] = F[13,x]*F[668,x]<br />
  
    F[668,x] = F[657,x]<br />
  
    F[669,x] = F[670,x]<br />
  
    F[670,x] = F[13,x]*F[652,x]<br />
  
    F[671,x] = F[11,x]*F[13,x]<br />
  
    F[672,x] = F[13,x]*F[673,x]<br />
  
    F[673,x] = F[185,x]+F[190,x]<br />
  
    F[674,x] = F[2,x]*F[675,x]<br />
  
    F[675,x] = F[41,x]+F[676,x]<br />
  
    F[676,x] = F[677,x]<br />
  
    F[677,x] = F[13,x]*F[415,x]<br />
  
    F[678,x] = F[679,x]+F[682,x]<br />
  
    F[679,x] = F[2,x]*F[680,x]<br />
  
    F[680,x] = F[681,x]<br />
  
    F[681,x] = F[13,x]*F[53,x]<br />
  
    F[682,x] = F[0,x]*F[683,x]<br />
  
    F[683,x] = F[684,x]<br />
  
    F[684,x] = F[13,x]*F[494,x]<br />
  
    F[685,x] = F[2,x]*F[686,x]<br />
  
    F[686,x] = F[687,x]<br />
  
    F[687,x] = F[13,x]*F[550,x]<br />
  
    F[688,x] = F[689,x]+F[690,x]<br />
  
    F[689,x] = F[2,x]*F[606,x]<br />
  
    F[690,x] = F[691,x]+F[701,x]<br />
  
    F[691,x] = F[6,x]*F[692,x]<br />
  
    F[692,x] = F[693,x]<br />
  
    F[693,x] = F[13,x]*F[694,x]<br />
  
    F[694,x] = F[695,x]+F[696,x]<br />
  
    F[695,x] = F[20,x]+F[429,x]<br />
  
    F[696,x] = F[697,x]+F[698,x]<br />
  
    F[697,x] = F[342,x]+F[434,x]<br />
  
    F[698,x] = F[517,x]+F[699,x]<br />
  
    F[699,x] = -F[700,x]+F[435,x]<br />
  
    F[700,x] = F[49,x]+F[517,x]<br />
  
    F[701,x] = F[49,x]*F[702,x]<br />
  
    F[702,x] = -F[692,x]+F[606,x]<br />
  
    F[703,x] = F[2,x]*F[704,x]<br />
  
    F[704,x] = -F[546,x]+F[699,x]<br />
  
    F[705,x] = F[706,x]+F[708,x]<br />
  
    F[706,x] = F[707,x]<br />
  
    F[707,x] = F[13,x]*F[4,x]*F[66,x]<br />
  
    F[708,x] = F[709,x]<br />
  
    F[709,x] = F[111,x]*F[13,x]*F[4,x]<br />
  
    F[710,x] = F[2,x]+F[617,x]<br />
  
    F[711,x] = F[712,x]<br />
  
    F[712,x] = F[15,x]*F[185,x]*F[2,x]*F[60,x]<br />
  
    F[713,x] = F[714,x]<br />
  
    F[714,x] = F[2,x]*F[715,x]<br />
  
    F[715,x] = F[716,x]+F[739,x]<br />
  
    F[716,x] = F[717,x]+F[719,x]<br />
  
    F[717,x] = F[718,x]+F[88,x]<br />
  
    F[718,x] = F[0,x]*F[83,x]<br />
  
    F[719,x] = F[720,x]+F[721,x]<br />
  
    F[720,x] = F[2,x]*F[363,x]<br />
  
    F[721,x] = F[0,x]*F[722,x]<br />
  
    F[722,x] = 2*F[84,x]+F[723,x]+F[725,x]<br />
  
    F[723,x] = F[13,x]*F[724,x]<br />
  
    F[724,x] = F[226,x]+F[722,x]<br />
  
    F[725,x] = F[13,x]*F[726,x]<br />
  
    F[726,x] = F[727,x]+F[728,x]<br />
  
    F[727,x] = F[722,x]+F[83,x]<br />
  
    F[728,x] = F[729,x]+F[734,x]<br />
  
    F[729,x] = 2*F[84,x]+F[730,x]+F[733,x]<br />
  
    F[730,x] = F[13,x]*F[731,x]<br />
  
    F[731,x] = F[729,x]+F[732,x]<br />
  
    F[732,x] = F[170,x]<br />
  
    F[733,x] = F[13,x]*F[83,x]<br />
  
    F[734,x] = 3*F[84,x]+F[735,x]+F[738,x]<br />
  
    F[735,x] = F[13,x]*F[736,x]<br />
  
    F[736,x] = F[734,x]+F[737,x]<br />
  
    F[737,x] = F[231,x]<br />
  
    F[738,x] = F[13,x]*F[722,x]<br />
  
    F[739,x] = F[740,x]+F[743,x]<br />
  
    F[740,x] = F[741,x]+F[742,x]<br />
  
    F[741,x] = F[2,x]*F[83,x]<br />
  
    F[742,x] = F[0,x]*F[729,x]<br />
  
    F[743,x] = F[744,x]+F[745,x]<br />
  
    F[744,x] = F[2,x]*F[369,x]<br />
  
    F[745,x] = F[0,x]*F[734,x]<br />
  
    F[746,x] = F[747,x]<br />
  
    F[747,x] = F[748,x]+F[755,x]<br />
  
    F[748,x] = F[749,x]+F[752,x]<br />
  
    F[749,x] = F[750,x]+F[751,x]<br />
  
    F[750,x] = F[37,x]^2*F[2,x]<br />
  
    F[751,x] = F[105,x]*F[83,x]<br />
  
    F[752,x] = F[753,x]+F[754,x]<br />
  
    F[753,x] = F[2,x]*F[363,x]*F[37,x]<br />
  
    F[754,x] = F[105,x]*F[722,x]<br />
  
    F[755,x] = F[756,x]+F[759,x]<br />
  
    F[756,x] = F[757,x]+F[758,x]<br />
  
    F[757,x] = F[2,x]*F[37,x]*F[83,x]<br />
  
    F[758,x] = F[105,x]*F[729,x]<br />
  
    F[759,x] = F[760,x]+F[761,x]<br />
  
    F[760,x] = F[2,x]*F[369,x]*F[37,x]<br />
  
    F[761,x] = F[105,x]*F[734,x]<br />
  
    F[762,x] = F[37,x]*F[763,x]<br />
  
    F[763,x] = F[119,x]+F[69,x]<br />
  
    F[764,x] = F[765,x]<br />
  
    F[765,x] = F[15,x]*F[2,x]*F[60,x]<br />
  
    F[766,x] = F[2,x]*F[367,x]<br />
  
    F[767,x] = F[367,x]*F[37,x]<br />
  
    F[768,x] = F[769,x]+F[770,x]<br />
  
    F[769,x] = F[2,x]*F[53,x]<br />
  
    F[770,x] = F[771,x]+F[772,x]<br />
  
    F[771,x] = F[2,x]*F[6,x]<br />
  
    F[772,x] = F[49,x]*F[54,x]<br />
  
    F[773,x] = F[774,x]<br />
  
    F[774,x] = F[13,x]*F[775,x]<br />
  
    F[775,x] = F[49,x]+F[776,x]<br />
  
    F[776,x] = F[6,x]+F[777,x]<br />
  
    F[777,x] = -F[49,x]+F[778,x]<br />
  
    F[778,x] = -F[781,x]+F[779,x]<br />
  
    F[779,x] = 1/F[13,x]*F[780,x]<br />
  
    F[780,x] = F[49,x]<br />
  
    F[781,x] = F[782,x]+F[783,x]<br />
  
    F[782,x] = F[13,x]+F[24,x]<br />
  
    F[783,x] = F[784,x]+F[785,x]<br />
  
    F[784,x] = F[13,x]*F[37,x]<br />
  
    F[785,x] = F[49,x]+F[786,x]<br />
  
    F[786,x] = F[787,x]<br />
  
    F[787,x] = F[13,x]*F[25,x]*F[39,x]<br />
  
    F[788,x] = F[789,x]+F[790,x]<br />
  
    F[789,x] = F[19,x]*F[60,x]<br />
  
    F[790,x] = F[791,x]+F[792,x]<br />
  
    F[791,x] = F[300,x]+F[49,x]<br />
  
    F[792,x] = F[1316,x]+F[793,x]<br />
  
    F[793,x] = -F[20,x]+F[794,x]<br />
  
    F[794,x] = -F[332,x]+F[795,x]<br />
  
    F[795,x] = 1/F[13,x]*F[796,x]<br />
  
    F[796,x] = F[797,x]<br />
  
    F[797,x] = -F[25,x]+F[798,x]<br />
  
    F[798,x] = -F[226,x]+F[799,x]<br />
  
    F[799,x] = -F[1266,x]+F[800,x]<br />
  
    F[800,x] = -F[823,x]+F[801,x]<br />
  
    F[801,x] = 1/F[13,x]*F[802,x]<br />
  
    F[802,x] = F[803,x]<br />
  
    F[803,x] = F[13,x]*F[804,x]<br />
  
    F[804,x] = F[805,x]+F[806,x]<br />
  
    F[805,x] = F[623,x]<br />
  
    F[806,x] = F[6,x]+F[807,x]<br />
  
    F[807,x] = -F[805,x]+F[808,x]<br />
  
    F[808,x] = -F[811,x]+F[809,x]<br />
  
    F[809,x] = 1/F[13,x]*F[810,x]<br />
  
    F[810,x] = F[124,x]<br />
  
    F[811,x] = F[812,x]+F[814,x]<br />
  
    F[812,x] = F[813,x]<br />
  
    F[813,x] = F[195,x]*F[6,x]<br />
  
    F[814,x] = F[124,x]+F[815,x]<br />
  
    F[815,x] = F[816,x]<br />
  
    F[816,x] = F[13,x]*F[817,x]<br />
  
    F[817,x] = F[818,x]+F[821,x]<br />
  
    F[818,x] = F[6,x]*F[819,x]<br />
  
    F[819,x] = 1/F[13,x]*F[820,x]<br />
  
    F[820,x] = F[425,x]<br />
  
    F[821,x] = F[808,x]*F[822,x]<br />
  
    F[822,x] = F[192,x]+F[425,x]<br />
  
    F[823,x] = F[1099,x]+F[824,x]<br />
  
    F[824,x] = F[825,x]+F[827,x]<br />
  
    F[825,x] = F[826,x]<br />
  
    F[826,x] = F[11,x]*F[13,x]*F[2,x]<br />
  
    F[827,x] = F[828,x]+F[885,x]<br />
  
    F[828,x] = F[829,x]<br />
  
    F[829,x] = F[13,x]*F[830,x]<br />
  
    F[830,x] = F[805,x]+F[831,x]<br />
  
    F[831,x] = F[832,x]+F[864,x]<br />
  
    F[832,x] = F[833,x]<br />
  
    F[833,x] = F[13,x]*F[834,x]<br />
  
    F[834,x] = F[835,x]+F[840,x]<br />
  
    F[835,x] = F[782,x]+F[836,x]<br />
  
    F[836,x] = F[41,x]+F[837,x]<br />
  
    F[837,x] = F[49,x]+F[838,x]<br />
  
    F[838,x] = F[839,x]<br />
  
    F[839,x] = F[13,x]*F[2,x]*F[27,x]<br />
  
    F[840,x] = F[841,x]+F[844,x]<br />
  
    F[841,x] = F[41,x]+F[842,x]<br />
  
    F[842,x] = F[832,x]+F[843,x]<br />
  
    F[843,x] = F[839,x]<br />
  
    F[844,x] = F[845,x]+F[846,x]<br />
  
    F[845,x] = F[13,x]*F[6,x]<br />
  
    F[846,x] = F[847,x]+F[862,x]<br />
  
    F[847,x] = F[848,x]<br />
  
    F[848,x] = F[13,x]*F[849,x]<br />
  
    F[849,x] = F[850,x]+F[855,x]<br />
  
    F[850,x] = F[0,x]*F[851,x]<br />
  
    F[851,x] = F[852,x]+F[854,x]<br />
  
    F[852,x] = F[6,x]+F[853,x]<br />
  
    F[853,x] = F[41,x]+F[637,x]<br />
  
    F[854,x] = F[629,x]+F[639,x]<br />
  
    F[855,x] = F[856,x]+F[857,x]<br />
  
    F[856,x] = F[2,x]*F[851,x]<br />
  
    F[857,x] = F[858,x]+F[861,x]<br />
  
    F[858,x] = F[859,x]+F[860,x]<br />
  
    F[859,x] = F[6,x]^2<br />
  
    F[860,x] = F[49,x]*F[853,x]<br />
  
    F[861,x] = F[49,x]*F[854,x]<br />
  
    F[862,x] = F[863,x]<br />
  
    F[863,x] = F[13,x]*F[27,x]*F[6,x]<br />
  
    F[864,x] = F[865,x]<br />
  
    F[865,x] = F[13,x]*F[866,x]<br />
  
    F[866,x] = F[867,x]+F[879,x]<br />
  
    F[867,x] = F[868,x]+F[874,x]<br />
  
    F[868,x] = F[869,x]+F[870,x]<br />
  
    F[869,x] = F[13,x]*F[2,x]<br />
  
    F[870,x] = F[871,x]+F[872,x]<br />
  
    F[871,x] = F[2,x]*F[24,x]<br />
  
    F[872,x] = F[2,x]*F[873,x]<br />
  
    F[873,x] = F[2,x]+F[66,x]<br />
  
    F[874,x] = F[875,x]+F[876,x]<br />
  
    F[875,x] = F[13,x]*F[2,x]*F[37,x]<br />
  
    F[876,x] = F[877,x]+F[878,x]<br />
  
    F[877,x] = F[2,x]*F[785,x]<br />
  
    F[878,x] = F[49,x]*F[873,x]<br />
  
    F[879,x] = F[880,x]+F[882,x]<br />
  
    F[880,x] = F[49,x]*F[881,x]<br />
  
    F[881,x] = F[2,x]+F[873,x]<br />
  
    F[882,x] = F[883,x]+F[884,x]<br />
  
    F[883,x] = F[2,x]*F[777,x]<br />
  
    F[884,x] = F[296,x]*F[873,x]<br />
  
    F[885,x] = F[886,x]<br />
  
    F[886,x] = F[13,x]*F[887,x]<br />
  
    F[887,x] = F[888,x]+F[890,x]<br />
  
    F[888,x] = F[889,x]<br />
  
    F[889,x] = F[2,x]^2*F[11,x]<br />
  
    F[890,x] = F[891,x]+F[908,x]<br />
  
    F[891,x] = F[892,x]<br />
  
    F[892,x] = F[13,x]*F[893,x]<br />
  
    F[893,x] = F[894,x]+F[901,x]<br />
  
    F[894,x] = F[895,x]+F[898,x]<br />
  
    F[895,x] = F[522,x]+F[896,x]<br />
  
    F[896,x] = F[897,x]<br />
  
    F[897,x] = F[525,x]*F[873,x]<br />
  
    F[898,x] = F[527,x]+F[899,x]<br />
  
    F[899,x] = F[900,x]<br />
  
    F[900,x] = F[530,x]*F[873,x]<br />
  
    F[901,x] = F[902,x]+F[905,x]<br />
  
    F[902,x] = F[534,x]+F[903,x]<br />
  
    F[903,x] = F[904,x]<br />
  
    F[904,x] = F[537,x]*F[873,x]<br />
  
    F[905,x] = F[401,x]+F[906,x]<br />
  
    F[906,x] = F[907,x]<br />
  
    F[907,x] = F[542,x]*F[873,x]<br />
  
    F[908,x] = -F[1080,x]+F[909,x]<br />
  
    F[909,x] = -F[919,x]+F[910,x]<br />
  
    F[910,x] = -F[917,x]+F[911,x]<br />
  
    F[911,x] = -F[914,x]+F[912,x]<br />
  
    F[912,x] = 1/F[13,x]*F[913,x]<br />
  
    F[913,x] = F[891,x]<br />
  
    F[914,x] = F[842,x]+F[915,x]<br />
  
    F[915,x] = F[916,x]<br />
  
    F[916,x] = F[11,x]*F[2,x]*F[24,x]<br />
  
    F[917,x] = F[60,x]*F[918,x]<br />
  
    F[918,x] = F[832,x]+F[891,x]<br />
  
    F[919,x] = F[1079,x]+F[920,x]<br />
  
    F[920,x] = F[921,x]<br />
  
    F[921,x] = F[13,x]*F[922,x]<br />
  
    F[922,x] = F[1074,x]+F[923,x]<br />
  
    F[923,x] = F[0,x]*F[924,x]<br />
  
    F[924,x] = F[832,x]+F[925,x]<br />
  
    F[925,x] = F[1073,x]+F[926,x]<br />
  
    F[926,x] = -F[832,x]+F[927,x]<br />
  
    F[927,x] = 1/F[28,x]*F[928,x]<br />
  
    F[928,x] = -F[1068,x]+F[929,x]<br />
  
    F[929,x] = 1/F[13,x]*F[930,x]<br />
  
    F[930,x] = F[931,x]<br />
  
    F[931,x] = F[13,x]*F[932,x]<br />
  
    F[932,x] = F[864,x]+F[933,x]<br />
  
    F[933,x] = F[864,x]+F[934,x]<br />
  
    F[934,x] = -F[864,x]+F[935,x]<br />
  
    F[935,x] = -F[1067,x]+F[936,x]<br />
  
    F[936,x] = 1/F[13,x]*F[937,x]<br />
  
    F[937,x] = F[938,x]<br />
  
    F[938,x] = F[13,x]*F[939,x]<br />
  
    F[939,x] = F[940,x]+F[961,x]<br />
  
    F[940,x] = F[941,x]+F[946,x]<br />
  
    F[941,x] = F[942,x]+F[943,x]<br />
  
    F[942,x] = F[13,x]*F[2,x]*F[29,x]<br />
  
    F[943,x] = F[944,x]+F[945,x]<br />
  
    F[944,x] = F[2,x]*F[24,x]*F[29,x]<br />
  
    F[945,x] = F[13,x]*F[2,x]*F[873,x]<br />
  
    F[946,x] = F[947,x]+F[949,x]<br />
  
    F[947,x] = F[13,x]*F[2,x]*F[948,x]<br />
  
    F[948,x] = F[83,x]+F[86,x]<br />
  
    F[949,x] = F[950,x]+F[960,x]<br />
  
    F[950,x] = F[2,x]*F[951,x]<br />
  
    F[951,x] = F[952,x]+F[954,x]<br />
  
    F[952,x] = F[292,x]+F[953,x]<br />
  
    F[953,x] = F[13,x]*F[49,x]<br />
  
    F[954,x] = F[955,x]+F[956,x]<br />
  
    F[955,x] = F[13,x]*F[786,x]<br />
  
    F[956,x] = F[957,x]<br />
  
    F[957,x] = F[13,x]*F[25,x]*F[958,x]<br />
  
    F[958,x] = F[82,x]+F[959,x]<br />
  
    F[959,x] = F[13,x]*F[39,x]<br />
  
    F[960,x] = F[292,x]*F[873,x]<br />
  
    F[961,x] = F[962,x]+F[967,x]<br />
  
    F[962,x] = F[963,x]+F[966,x]<br />
  
    F[963,x] = F[2,x]*F[964,x]<br />
  
    F[964,x] = F[310,x]+F[965,x]<br />
  
    F[965,x] = F[13,x]*F[49,x]<br />
  
    F[966,x] = F[13,x]*F[49,x]*F[873,x]<br />
  
    F[967,x] = F[968,x]+F[977,x]<br />
  
    F[968,x] = F[2,x]*F[969,x]<br />
  
    F[969,x] = -F[964,x]+F[970,x]<br />
  
    F[970,x] = -F[973,x]+F[971,x]<br />
  
    F[971,x] = 1/F[13,x]*F[972,x]<br />
  
    F[972,x] = F[292,x]<br />
  
    F[973,x] = F[974,x]+F[975,x]<br />
  
    F[974,x] = F[29,x]*F[782,x]<br />
  
    F[975,x] = F[951,x]+F[976,x]<br />
  
    F[976,x] = F[13,x]*F[948,x]<br />
  
    F[977,x] = F[873,x]*F[978,x]<br />
  
    F[978,x] = 1/F[54,x]*F[979,x]<br />
  
    F[979,x] = -F[968,x]+F[980,x]<br />
  
    F[980,x] = -F[1065,x]+F[981,x]<br />
  
    F[981,x] = -F[1058,x]+F[982,x]<br />
  
    F[982,x] = 1/F[13,x]*F[983,x]<br />
  
    F[983,x] = F[984,x]<br />
  
    F[984,x] = -F[1056,x]+F[985,x]<br />
  
    F[985,x] = -F[1053,x]+F[986,x]<br />
  
    F[986,x] = -F[1048,x]+F[987,x]<br />
  
    F[987,x] = -F[1033,x]+F[988,x]<br />
  
    F[988,x] = 1/F[13,x]*F[989,x]<br />
  
    F[989,x] = F[990,x]<br />
  
    F[990,x] = F[13,x]*F[991,x]<br />
  
    F[991,x] = F[992,x]+F[994,x]<br />
  
    F[992,x] = F[993,x]<br />
  
    F[993,x] = F[15,x]*F[49,x]*F[60,x]<br />
  
    F[994,x] = F[1009,x]+F[995,x]<br />
  
    F[995,x] = F[996,x]+F[997,x]<br />
  
    F[996,x] = F[49,x]+F[490,x]<br />
  
    F[997,x] = F[1000,x]+F[998,x]<br />
  
    F[998,x] = F[999,x]<br />
  
    F[999,x] = F[13,x]*F[4,x]*F[416,x]<br />
  
    F[1000,x] = F[1001,x]<br />
  
    F[1001,x] = F[1002,x]*F[13,x]*F[4,x]<br />
  
    F[1002,x] = F[1003,x]<br />
  
    F[1003,x] = F[1004,x]*F[13,x]<br />
  
    F[1004,x] = F[1005,x]+F[1007,x]<br />
  
    F[1005,x] = F[1006,x]<br />
  
    F[1006,x] = F[13,x]*F[420,x]*F[60,x]<br />
  
    F[1007,x] = F[1008,x]*F[423,x]<br />
  
    F[1008,x] = F[729,x]+F[83,x]<br />
  
    F[1009,x] = F[1010,x]+F[1028,x]<br />
  
    F[1010,x] = F[1011,x]+F[296,x]<br />
  
    F[1011,x] = -F[490,x]+F[1012,x]<br />
  
    F[1012,x] = -F[490,x]+F[1013,x]<br />
  
    F[1013,x] = 1/F[13,x]*F[1014,x]<br />
  
    F[1014,x] = F[1015,x]<br />
  
    F[1015,x] = F[1016,x]*F[13,x]<br />
  
    F[1016,x] = F[1017,x]+F[300,x]<br />
  
    F[1017,x] = F[1018,x]+F[838,x]<br />
  
    F[1018,x] = F[1019,x]<br />
  
    F[1019,x] = F[1020,x]*F[13,x]<br />
  
    F[1020,x] = F[1021,x]+F[1023,x]<br />
  
    F[1021,x] = F[1022,x]*F[28,x]<br />
  
    F[1022,x] = F[49,x]+F[500,x]<br />
  
    F[1023,x] = F[1024,x]+F[1025,x]<br />
  
    F[1024,x] = F[1022,x]*F[33,x]<br />
  
    F[1025,x] = F[1026,x]+F[1027,x]<br />
  
    F[1026,x] = F[42,x]*F[49,x]<br />
  
    F[1027,x] = F[309,x]*F[500,x]<br />
  
    F[1028,x] = F[1029,x]+F[1031,x]<br />
  
    F[1029,x] = F[1030,x]<br />
  
    F[1030,x] = F[13,x]*F[418,x]*F[49,x]<br />
  
    F[1031,x] = F[1032,x]<br />
  
    F[1032,x] = F[1004,x]*F[13,x]*F[49,x]<br />
  
    F[1033,x] = F[1034,x]+F[1041,x]<br />
  
    F[1034,x] = F[1035,x]+F[49,x]<br />
  
    F[1035,x] = F[1036,x]<br />
  
    F[1036,x] = F[1037,x]*F[13,x]<br />
  
    F[1037,x] = F[1038,x]+F[1039,x]<br />
  
    F[1038,x] = F[2,x]*F[362,x]*F[60,x]<br />
  
    F[1039,x] = F[1040,x]*F[374,x]<br />
  
    F[1040,x] = F[310,x]+F[49,x]<br />
  
    F[1041,x] = F[1042,x]+F[292,x]<br />
  
    F[1042,x] = F[1043,x]<br />
  
    F[1043,x] = F[1044,x]*F[13,x]<br />
  
    F[1044,x] = F[1045,x]+F[1046,x]<br />
  
    F[1045,x] = F[2,x]*F[368,x]*F[60,x]<br />
  
    F[1046,x] = F[1040,x]*F[1047,x]<br />
  
    F[1047,x] = F[263,x]+F[368,x]<br />
  
    F[1048,x] = F[1049,x]<br />
  
    F[1049,x] = F[1050,x]+F[1051,x]<br />
  
    F[1050,x] = F[49,x]+F[888,x]<br />
  
    F[1051,x] = F[1052,x]<br />
  
    F[1052,x] = F[2,x]^2*F[13,x]*F[15,x]<br />
  
    F[1053,x] = F[1054,x]+F[296,x]<br />
  
    F[1054,x] = F[1055,x]<br />
  
    F[1055,x] = F[1037,x]*F[13,x]*F[2,x]<br />
  
    F[1056,x] = F[1057,x]<br />
  
    F[1057,x] = F[1044,x]*F[13,x]*F[2,x]<br />
  
    F[1058,x] = F[1059,x]+F[1062,x]<br />
  
    F[1059,x] = F[1060,x]+F[942,x]<br />
  
    F[1060,x] = F[1061,x]+F[944,x]<br />
  
    F[1061,x] = F[13,x]*F[2,x]*F[54,x]<br />
  
    F[1062,x] = F[1063,x]+F[947,x]<br />
  
    F[1063,x] = F[1064,x]+F[950,x]<br />
  
    F[1064,x] = F[292,x]*F[54,x]<br />
  
    F[1065,x] = F[1066,x]+F[963,x]<br />
  
    F[1066,x] = F[13,x]*F[49,x]*F[54,x]<br />
  
    F[1067,x] = F[488,x]<br />
  
    F[1068,x] = F[1069,x]+F[1070,x]<br />
  
    F[1069,x] = F[33,x]*F[927,x]<br />
  
    F[1070,x] = F[1071,x]+F[1072,x]<br />
  
    F[1071,x] = F[42,x]*F[832,x]<br />
  
    F[1072,x] = F[309,x]*F[926,x]<br />
  
    F[1073,x] = F[37,x]*F[873,x]<br />
  
    F[1074,x] = F[1075,x]+F[1076,x]<br />
  
    F[1075,x] = F[2,x]*F[924,x]<br />
  
    F[1076,x] = F[1077,x]+F[1078,x]<br />
  
    F[1077,x] = F[6,x]*F[832,x]<br />
  
    F[1078,x] = F[49,x]*F[925,x]<br />
  
    F[1079,x] = F[931,x]<br />
  
    F[1080,x] = F[1081,x]<br />
  
    F[1081,x] = F[1082,x]*F[13,x]<br />
  
    F[1082,x] = F[1083,x]+F[1094,x]<br />
  
    F[1083,x] = F[1084,x]*F[28,x]<br />
  
    F[1084,x] = 1/F[0,x]*F[1085,x]<br />
  
    F[1085,x] = -F[1088,x]+F[1086,x]<br />
  
    F[1086,x] = 1/F[13,x]*F[1087,x]<br />
  
    F[1087,x] = F[908,x]<br />
  
    F[1088,x] = F[1089,x]+F[1090,x]<br />
  
    F[1089,x] = F[1084,x]*F[2,x]<br />
  
    F[1090,x] = F[1091,x]+F[1092,x]<br />
  
    F[1091,x] = F[6,x]*F[891,x]<br />
  
    F[1092,x] = F[1093,x]*F[49,x]<br />
  
    F[1093,x] = -F[891,x]+F[1084,x]<br />
  
    F[1094,x] = F[1095,x]+F[1096,x]<br />
  
    F[1095,x] = F[1084,x]*F[33,x]<br />
  
    F[1096,x] = F[1097,x]+F[1098,x]<br />
  
    F[1097,x] = F[42,x]*F[891,x]<br />
  
    F[1098,x] = F[1093,x]*F[309,x]<br />
  
    F[1099,x] = F[1100,x]+F[1102,x]<br />
  
    F[1100,x] = F[1101,x]<br />
  
    F[1101,x] = F[11,x]*F[13,x]*F[6,x]<br />
  
    F[1102,x] = F[1103,x]+F[1128,x]<br />
  
    F[1103,x] = F[1104,x]<br />
  
    F[1104,x] = F[1105,x]*F[13,x]<br />
  
    F[1105,x] = F[1106,x]+F[1117,x]<br />
  
    F[1106,x] = F[1107,x]+F[1112,x]<br />
  
    F[1107,x] = F[1108,x]+F[1111,x]<br />
  
    F[1108,x] = F[1109,x]+F[1110,x]<br />
  
    F[1109,x] = F[29,x]*F[6,x]<br />
  
    F[1110,x] = F[13,x]*F[853,x]<br />
  
    F[1111,x] = F[13,x]*F[854,x]<br />
  
    F[1112,x] = F[1113,x]+F[1116,x]<br />
  
    F[1113,x] = F[1114,x]+F[1115,x]<br />
  
    F[1114,x] = F[30,x]*F[6,x]<br />
  
    F[1115,x] = F[25,x]*F[853,x]<br />
  
    F[1116,x] = F[25,x]*F[854,x]<br />
  
    F[1117,x] = F[1118,x]+F[1123,x]<br />
  
    F[1118,x] = F[1119,x]+F[1122,x]<br />
  
    F[1119,x] = F[1120,x]+F[1121,x]<br />
  
    F[1120,x] = F[33,x]*F[6,x]<br />
  
    F[1121,x] = F[13,x]*F[2,x]*F[853,x]<br />
  
    F[1122,x] = F[13,x]*F[2,x]*F[854,x]<br />
  
    F[1123,x] = F[1124,x]+F[1127,x]<br />
  
    F[1124,x] = F[1125,x]+F[1126,x]<br />
  
    F[1125,x] = F[42,x]*F[6,x]<br />
  
    F[1126,x] = F[300,x]*F[853,x]<br />
  
    F[1127,x] = F[300,x]*F[854,x]<br />
  
    F[1128,x] = F[1129,x]<br />
  
    F[1129,x] = F[1130,x]*F[13,x]<br />
  
    F[1130,x] = F[1131,x]+F[1133,x]<br />
  
    F[1131,x] = F[1132,x]<br />
  
    F[1132,x] = F[11,x]*F[2,x]*F[6,x]<br />
  
    F[1133,x] = F[1134,x]+F[1167,x]<br />
  
    F[1134,x] = F[1135,x]<br />
  
    F[1135,x] = F[1136,x]*F[13,x]<br />
  
    F[1136,x] = F[1137,x]+F[1152,x]<br />
  
    F[1137,x] = F[1138,x]+F[1145,x]<br />
  
    F[1138,x] = F[1139,x]+F[1143,x]<br />
  
    F[1139,x] = F[1140,x]+F[1141,x]<br />
  
    F[1140,x] = F[319,x]*F[6,x]<br />
  
    F[1141,x] = F[1142,x]<br />
  
    F[1142,x] = F[525,x]*F[853,x]<br />
  
    F[1143,x] = F[1144,x]<br />
  
    F[1144,x] = F[525,x]*F[854,x]<br />
  
    F[1145,x] = F[1146,x]+F[1150,x]<br />
  
    F[1146,x] = F[1147,x]+F[1148,x]<br />
  
    F[1147,x] = F[330,x]*F[6,x]<br />
  
    F[1148,x] = F[1149,x]<br />
  
    F[1149,x] = F[530,x]*F[853,x]<br />
  
    F[1150,x] = F[1151,x]<br />
  
    F[1151,x] = F[530,x]*F[854,x]<br />
  
    F[1152,x] = F[1153,x]+F[1160,x]<br />
  
    F[1153,x] = F[1154,x]+F[1158,x]<br />
  
    F[1154,x] = F[1155,x]+F[1156,x]<br />
  
    F[1155,x] = F[356,x]*F[6,x]<br />
  
    F[1156,x] = F[1157,x]<br />
  
    F[1157,x] = F[537,x]*F[853,x]<br />
  
    F[1158,x] = F[1159,x]<br />
  
    F[1159,x] = F[537,x]*F[854,x]<br />
  
    F[1160,x] = F[1161,x]+F[1165,x]<br />
  
    F[1161,x] = F[1162,x]+F[1163,x]<br />
  
    F[1162,x] = F[388,x]*F[6,x]<br />
  
    F[1163,x] = F[1164,x]<br />
  
    F[1164,x] = F[542,x]*F[853,x]<br />
  
    F[1165,x] = F[1166,x]<br />
  
    F[1166,x] = F[542,x]*F[854,x]<br />
  
    F[1167,x] = -F[1247,x]+F[1168,x]<br />
  
    F[1168,x] = -F[1178,x]+F[1169,x]<br />
  
    F[1169,x] = -F[1176,x]+F[1170,x]<br />
  
    F[1170,x] = -F[1173,x]+F[1171,x]<br />
  
    F[1171,x] = 1/F[13,x]*F[1172,x]<br />
  
    F[1172,x] = F[1134,x]<br />
  
    F[1173,x] = F[1174,x]+F[846,x]<br />
  
    F[1174,x] = F[1175,x]<br />
  
    F[1175,x] = F[11,x]*F[24,x]*F[6,x]<br />
  
    F[1176,x] = F[1177,x]*F[60,x]<br />
  
    F[1177,x] = F[1134,x]+F[847,x]<br />
  
    F[1178,x] = F[1179,x]+F[1191,x]<br />
  
    F[1179,x] = F[1180,x]<br />
  
    F[1180,x] = F[1181,x]*F[13,x]<br />
  
    F[1181,x] = F[1182,x]+F[1242,x]<br />
  
    F[1182,x] = F[0,x]*F[1183,x]<br />
  
    F[1183,x] = F[1184,x]+F[847,x]<br />
  
    F[1184,x] = F[1185,x]+F[1241,x]<br />
  
    F[1185,x] = F[1186,x]+F[1240,x]<br />
  
    F[1186,x] = -F[847,x]+F[1187,x]<br />
  
    F[1187,x] = 1/F[28,x]*F[1188,x]<br />
  
    F[1188,x] = -F[1235,x]+F[1189,x]<br />
  
    F[1189,x] = 1/F[13,x]*F[1190,x]<br />
  
    F[1190,x] = F[1191,x]<br />
  
    F[1191,x] = F[1192,x]<br />
  
    F[1192,x] = F[1193,x]*F[13,x]<br />
  
    F[1193,x] = F[1194,x]+F[1200,x]<br />
  
    F[1194,x] = -F[847,x]+F[1195,x]<br />
  
    F[1195,x] = -F[1198,x]+F[1196,x]<br />
  
    F[1196,x] = 1/F[13,x]*F[1197,x]<br />
  
    F[1197,x] = F[1103,x]<br />
  
    F[1198,x] = F[1199,x]<br />
  
    F[1199,x] = F[2,x]*F[6,x]<br />
  
    F[1200,x] = F[1194,x]+F[1201,x]<br />
  
    F[1201,x] = -F[1194,x]+F[1202,x]<br />
  
    F[1202,x] = -F[1233,x]+F[1203,x]<br />
  
    F[1203,x] = 1/F[13,x]*F[1204,x]<br />
  
    F[1204,x] = F[1205,x]<br />
  
    F[1205,x] = F[1206,x]*F[13,x]<br />
  
    F[1206,x] = F[1207,x]+F[1222,x]<br />
  
    F[1207,x] = F[1208,x]+F[1215,x]<br />
  
    F[1208,x] = F[1209,x]+F[1210,x]<br />
  
    F[1209,x] = F[13,x]*F[29,x]*F[6,x]<br />
  
    F[1210,x] = F[1211,x]+F[1214,x]<br />
  
    F[1211,x] = F[1212,x]+F[1213,x]<br />
  
    F[1212,x] = F[24,x]*F[29,x]*F[6,x]<br />
  
    F[1213,x] = F[13,x]*F[2,x]*F[853,x]<br />
  
    F[1214,x] = F[13,x]*F[2,x]*F[854,x]<br />
  
    F[1215,x] = F[1216,x]+F[1217,x]<br />
  
    F[1216,x] = F[13,x]*F[6,x]*F[948,x]<br />
  
    F[1217,x] = F[1218,x]+F[1221,x]<br />
  
    F[1218,x] = F[1219,x]+F[1220,x]<br />
  
    F[1219,x] = F[6,x]*F[951,x]<br />
  
    F[1220,x] = F[292,x]*F[853,x]<br />
  
    F[1221,x] = F[292,x]*F[854,x]<br />
  
    F[1222,x] = F[1223,x]+F[1228,x]<br />
  
    F[1223,x] = F[1224,x]+F[1227,x]<br />
  
    F[1224,x] = F[1225,x]+F[1226,x]<br />
  
    F[1225,x] = F[6,x]*F[964,x]<br />
  
    F[1226,x] = F[13,x]*F[49,x]*F[853,x]<br />
  
    F[1227,x] = F[13,x]*F[49,x]*F[854,x]<br />
  
    F[1228,x] = F[1229,x]+F[1232,x]<br />
  
    F[1229,x] = F[1230,x]+F[1231,x]<br />
  
    F[1230,x] = F[6,x]*F[969,x]<br />
  
    F[1231,x] = F[853,x]*F[978,x]<br />
  
    F[1232,x] = F[854,x]*F[978,x]<br />
  
    F[1233,x] = F[1234,x]<br />
  
    F[1234,x] = F[49,x]*F[6,x]<br />
  
    F[1235,x] = F[1236,x]+F[1237,x]<br />
  
    F[1236,x] = F[1187,x]*F[33,x]<br />
  
    F[1237,x] = F[1238,x]+F[1239,x]<br />
  
    F[1238,x] = F[42,x]*F[847,x]<br />
  
    F[1239,x] = F[1186,x]*F[309,x]<br />
  
    F[1240,x] = F[37,x]*F[853,x]<br />
  
    F[1241,x] = F[37,x]*F[854,x]<br />
  
    F[1242,x] = F[1243,x]+F[1244,x]<br />
  
    F[1243,x] = F[1183,x]*F[2,x]<br />
  
    F[1244,x] = F[1245,x]+F[1246,x]<br />
  
    F[1245,x] = F[6,x]*F[847,x]<br />
  
    F[1246,x] = F[1184,x]*F[49,x]<br />
  
    F[1247,x] = F[1248,x]<br />
  
    F[1248,x] = F[1249,x]*F[13,x]<br />
  
    F[1249,x] = F[1250,x]+F[1261,x]<br />
  
    F[1250,x] = F[1251,x]*F[28,x]<br />
  
    F[1251,x] = 1/F[0,x]*F[1252,x]<br />
  
    F[1252,x] = -F[1255,x]+F[1253,x]<br />
  
    F[1253,x] = 1/F[13,x]*F[1254,x]<br />
  
    F[1254,x] = F[1167,x]<br />
  
    F[1255,x] = F[1256,x]+F[1257,x]<br />
  
    F[1256,x] = F[1251,x]*F[2,x]<br />
  
    F[1257,x] = F[1258,x]+F[1259,x]<br />
  
    F[1258,x] = F[1134,x]*F[6,x]<br />
  
    F[1259,x] = F[1260,x]*F[49,x]<br />
  
    F[1260,x] = -F[1134,x]+F[1251,x]<br />
  
    F[1261,x] = F[1262,x]+F[1263,x]<br />
  
    F[1262,x] = F[1251,x]*F[33,x]<br />
  
    F[1263,x] = F[1264,x]+F[1265,x]<br />
  
    F[1264,x] = F[1134,x]*F[42,x]<br />
  
    F[1265,x] = F[1260,x]*F[309,x]<br />
  
    F[1266,x] = F[1267,x]+F[825,x]<br />
  
    F[1267,x] = F[1268,x]+F[1284,x]<br />
  
    F[1268,x] = F[1269,x]<br />
  
    F[1269,x] = F[1270,x]*F[13,x]<br />
  
    F[1270,x] = F[1271,x]+F[1278,x]<br />
  
    F[1271,x] = F[1272,x]+F[1275,x]<br />
  
    F[1272,x] = F[1273,x]+F[1274,x]<br />
  
    F[1273,x] = F[2,x]*F[29,x]<br />
  
    F[1274,x] = F[13,x]*F[54,x]<br />
  
    F[1275,x] = F[1276,x]+F[1277,x]<br />
  
    F[1276,x] = F[2,x]*F[30,x]<br />
  
    F[1277,x] = F[25,x]*F[54,x]<br />
  
    F[1278,x] = F[1279,x]+F[1282,x]<br />
  
    F[1279,x] = F[1280,x]+F[1281,x]<br />
  
    F[1280,x] = F[2,x]*F[33,x]<br />
  
    F[1281,x] = F[13,x]*F[2,x]*F[54,x]<br />
  
    F[1282,x] = F[1283,x]+F[307,x]<br />
  
    F[1283,x] = F[300,x]*F[54,x]<br />
  
    F[1284,x] = F[1285,x]<br />
  
    F[1285,x] = F[1286,x]*F[13,x]<br />
  
    F[1286,x] = F[1287,x]+F[888,x]<br />
  
    F[1287,x] = F[1288,x]+F[517,x]<br />
  
    F[1288,x] = -F[1297,x]+F[1289,x]<br />
  
    F[1289,x] = -F[1296,x]+F[1290,x]<br />
  
    F[1290,x] = -F[1295,x]+F[1291,x]<br />
  
    F[1291,x] = -F[1294,x]+F[1292,x]<br />
  
    F[1292,x] = 1/F[13,x]*F[1293,x]<br />
  
    F[1293,x] = F[517,x]<br />
  
    F[1294,x] = F[837,x]+F[915,x]<br />
  
    F[1295,x] = F[60,x]*F[700,x]<br />
  
    F[1296,x] = F[1018,x]+F[296,x]<br />
  
    F[1297,x] = F[1298,x]<br />
  
    F[1298,x] = F[1299,x]*F[13,x]<br />
  
    F[1299,x] = F[1300,x]+F[1311,x]<br />
  
    F[1300,x] = F[1301,x]*F[28,x]<br />
  
    F[1301,x] = 1/F[0,x]*F[1302,x]<br />
  
    F[1302,x] = -F[1305,x]+F[1303,x]<br />
  
    F[1303,x] = 1/F[13,x]*F[1304,x]<br />
  
    F[1304,x] = F[1288,x]<br />
  
    F[1305,x] = F[1306,x]+F[1307,x]<br />
  
    F[1306,x] = F[1301,x]*F[2,x]<br />
  
    F[1307,x] = F[1308,x]+F[1309,x]<br />
  
    F[1308,x] = F[517,x]*F[6,x]<br />
  
    F[1309,x] = F[1310,x]*F[49,x]<br />
  
    F[1310,x] = -F[517,x]+F[1301,x]<br />
  
    F[1311,x] = F[1312,x]+F[1313,x]<br />
  
    F[1312,x] = F[1301,x]*F[33,x]<br />
  
    F[1313,x] = F[1314,x]+F[1315,x]<br />
  
    F[1314,x] = F[42,x]*F[517,x]<br />
  
    F[1315,x] = F[1310,x]*F[309,x]<br />
  
    F[1316,x] = F[1317,x]<br />
  
    F[1317,x] = F[13,x]*F[1318,x]<br />
  
    F[1318,x] = F[1319,x]+F[1330,x]<br />
  
    F[1319,x] = F[1320,x]*F[28,x]<br />
  
    F[1320,x] = 1/F[0,x]*F[1321,x]<br />
  
    F[1321,x] = -F[1324,x]+F[1322,x]<br />
  
    F[1322,x] = 1/F[13,x]*F[1323,x]<br />
  
    F[1323,x] = F[793,x]<br />
  
    F[1324,x] = F[1325,x]+F[1326,x]<br />
  
    F[1325,x] = F[1320,x]*F[2,x]<br />
  
    F[1326,x] = F[1327,x]+F[1328,x]<br />
  
    F[1327,x] = F[20,x]*F[6,x]<br />
  
    F[1328,x] = F[1329,x]*F[49,x]<br />
  
    F[1329,x] = -F[20,x]+F[1320,x]<br />
  
    F[1330,x] = F[1331,x]+F[1332,x]<br />
  
    F[1331,x] = F[1320,x]*F[33,x]<br />
  
    F[1332,x] = F[1333,x]+F[1334,x]<br />
  
    F[1333,x] = F[20,x]*F[42,x]<br />
  
    F[1334,x] = F[1329,x]*F[309,x]<br />
  
    F[1335,x] = F[342,x]+F[700,x]<br />
  
    F[1336,x] = F[1337,x]+F[1338,x]<br />
  
    F[1337,x] = F[342,x]+F[918,x]<br />
  
    F[1338,x] = F[1177,x]+F[1339,x]<br />
  
    F[1339,x] = F[11,x]*F[6,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_{13}\! \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_{13}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{1336}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{1335}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{19}\! \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_{14}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = x<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{13}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{2}\! \left(x \right)+F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{13}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{788}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{15}\! \left(x \right) F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{2}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{13}\! \left(x \right) F_{27}\! \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_{29}\! \left(x \right)+F_{30}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = 2 F_{13}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{25}\! \left(x \right)+F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{13}\! \left(x \right) F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{40}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{13}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{1}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{2}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{773}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{13}\! \left(x \right) F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{2}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{37}\! \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_{13}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{768}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{0}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{2}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{37}\! \left(x \right)+F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{13}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{15}\! \left(x \right) F_{37}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{1}\! \left(x \right)+F_{13}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{767}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = -F_{766}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = -F_{764}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{65}\! \left(x \right) = F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{13}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{762}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{2}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{13}\! \left(x \right) F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{2}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{87}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{37}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{13}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{2}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{0}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{13}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{85}\! \left(x \right)+F_{86}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = 0<br />
  
    F_{85}\! \left(x \right) = F_{13}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{13}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{89}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{2}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{90}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{13}\! \left(x \right) F_{91}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{6}\! \left(x \right)+F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{13}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{37}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{5}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{66}\! \left(x \right)+F_{98}\! \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_{13}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{106}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = F_{102}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{15}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{2}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{746}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = -F_{713}\! \left(x \right)+F_{108}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = -F_{711}\! \left(x \right)+F_{109}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{110}\! \left(x \right) = F_{111}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{112}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = -F_{710}\! \left(x \right)+F_{113}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = -F_{122}\! \left(x \right)+F_{114}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = -F_{121}\! \left(x \right)+F_{115}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{116}\! \left(x \right) = F_{117}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{118}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{119}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{120}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{119}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{705}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{125}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{126}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{410}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{182}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{11}\! \left(x \right)+F_{130}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{160}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{13}\! \left(x \right) F_{132}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{129}\! \left(x \right)+F_{133}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{13}\! \left(x \right) F_{136}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{138}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{11}\! \left(x \right)+F_{134}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{13}\! \left(x \right) F_{134}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{142}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{142}\! \left(x \right) = F_{13}\! \left(x \right) F_{143}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{145}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{130}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{158}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{147}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{13}\! \left(x \right) F_{130}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{13}\! \left(x \right) F_{149}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{151}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = F_{146}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{155}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{13}\! \left(x \right) F_{154}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{17}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{13}\! \left(x \right) F_{157}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{146}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{159}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{13}\! \left(x \right) F_{141}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{13}\! \left(x \right) F_{161}\! \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_{134}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{13}\! \left(x \right) F_{166}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{168}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{13}\! \left(x \right)+F_{164}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{171}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{170}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = x^{2}<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{13}\! \left(x \right) F_{164}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{13}\! \left(x \right) F_{175}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{17}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{180}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{181}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{13}\! \left(x \right) F_{173}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{188}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{187}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{2}\! \left(x \right) F_{20}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{267}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{216}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{13}\! \left(x \right) F_{194}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{196}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{1}\! \left(x \right)+F_{192}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{11}\! \left(x \right)+F_{197}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{204}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{13}\! \left(x \right) F_{199}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{201}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = F_{192}\! \left(x \right)+F_{197}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{214}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = F_{13}\! \left(x \right) F_{192}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{13}\! \left(x \right) F_{205}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = F_{13}\! \left(x \right)+F_{202}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{211}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{13}\! \left(x \right) F_{210}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{13}\! \left(x \right) F_{213}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{202}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{13}\! \left(x \right) F_{197}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{0}\! \left(x \right) F_{217}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{266}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{13}\! \left(x \right) F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{13}\! \left(x \right)+F_{217}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{232}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{229}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{13}\! \left(x \right) F_{224}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{227}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = F_{13}\! \left(x \right)+F_{226}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = F_{164}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{230}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{170}\! \left(x \right)+F_{229}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = x^{2}<br />
  
    F_{230}\! \left(x \right) = F_{231}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{13}\! \left(x \right) F_{226}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{246}\! \left(x \right)+F_{259}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{13}\! \left(x \right) F_{234}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{244}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{217}\! \left(x \right)+F_{236}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{237}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{13}\! \left(x \right) F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{235}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{242}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{13}\! \left(x \right) F_{217}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{13}\! \left(x \right) F_{236}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{265}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{241}\! \left(x \right)+F_{246}\! \left(x \right)+F_{259}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{13}\! \left(x \right) F_{247}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{249}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{228}\! \left(x \right)+F_{245}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{254}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{231}\! \left(x \right)+F_{251}\! \left(x \right)+F_{253}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{13}\! \left(x \right) F_{252}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{227}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = 0<br />
  
    F_{254}\! \left(x \right) = F_{243}\! \left(x \right)+F_{255}\! \left(x \right)+F_{257}\! \left(x \right)+F_{258}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{13}\! \left(x \right) F_{256}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{244}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = 0<br />
  
    F_{258}\! \left(x \right) = 0<br />
  
    F_{259}\! \left(x \right) = F_{13}\! \left(x \right) F_{260}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{18}\! \left(x \right)+F_{261}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{13}\! \left(x \right) F_{262}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{13}\! \left(x \right)+F_{264}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{18}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{243}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{2}\! \left(x \right) F_{268}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{13}\! \left(x \right) F_{270}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right)+F_{274}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{19}\! \left(x \right) F_{272}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{11}\! \left(x \right)+F_{273}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{15}\! \left(x \right) F_{192}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{281}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = F_{15}\! \left(x \right) F_{276}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{279}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{11}\! \left(x \right) F_{278}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{2}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{192}\! \left(x \right) F_{280}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{24}\! \left(x \right)+F_{277}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{408}\! \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_{402}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = -F_{291}\! \left(x \right)+F_{285}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = -F_{290}\! \left(x \right)+F_{286}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = -F_{289}\! \left(x \right)+F_{287}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = \frac{F_{288}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{288}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = F_{19}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{15}\! \left(x \right) F_{24}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{314}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = F_{293}\! \left(x \right)<br />
  
    F_{293}\! \left(x \right) = F_{13}\! \left(x \right) F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{298}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = \frac{F_{299}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{301}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{13}\! \left(x \right) F_{302}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{28}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{306}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{33}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{308}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{2}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{309}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{300}\! \left(x \right)+F_{310}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{311}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{13}\! \left(x \right) F_{312}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = F_{313}\! \left(x \right)+F_{46}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = F_{39}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{314}\! \left(x \right) = F_{315}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = F_{13}\! \left(x \right) F_{316}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{354}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{318}\! \left(x \right) F_{344}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{319}\! \left(x \right)+F_{330}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{11}\! \left(x \right)+F_{320}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{11}\! \left(x \right)+F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = F_{322}\! \left(x \right)+F_{328}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{13}\! \left(x \right) F_{323}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{325}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{11}\! \left(x \right)+F_{321}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{17}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = F_{327}\! \left(x \right)<br />
  
    F_{327}\! \left(x \right) = F_{13}\! \left(x \right) F_{321}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{13}\! \left(x \right) F_{329}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{16}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = F_{20}\! \left(x \right)+F_{331}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{333}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{334}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{335}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{336}\! \left(x \right)+F_{337}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{20}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{25}\! \left(x \right)+F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{339}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{13}\! \left(x \right) F_{340}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = F_{20}\! \left(x \right)+F_{341}\! \left(x \right)<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)+F_{343}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{284}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = \frac{F_{345}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{345}\! \left(x \right) = -F_{348}\! \left(x \right)+F_{346}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = \frac{F_{347}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{347}\! \left(x \right) = F_{292}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{350}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{2}\! \left(x \right) F_{344}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = F_{351}\! \left(x \right)+F_{352}\! \left(x \right)<br />
  
    F_{351}\! \left(x \right) = F_{25}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{344}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{386}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{344}\! \left(x \right) F_{356}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{342}\! \left(x \right)+F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{375}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{359}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{13}\! \left(x \right) F_{360}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{373}\! \left(x \right)<br />
  
    F_{361}\! \left(x \right) = F_{362}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{366}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = F_{13}\! \left(x \right) F_{365}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{11}\! \left(x \right)+F_{363}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{13}\! \left(x \right) F_{367}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{362}\! \left(x \right)+F_{368}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{369}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{370}\! \left(x \right)+F_{372}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{13}\! \left(x \right) F_{371}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{264}\! \left(x \right)+F_{369}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{13}\! \left(x \right) F_{363}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{278}\! \left(x \right) F_{374}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{15}\! \left(x \right)+F_{362}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{376}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{13}\! \left(x \right) F_{377}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = F_{378}\! \left(x \right)+F_{382}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{362}\! \left(x \right) F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{381}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{11}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{374}\! \left(x \right) F_{383}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{384}\! \left(x \right)+F_{385}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = F_{11}\! \left(x \right) F_{278}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{392}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = F_{25}\! \left(x \right) F_{388}\! \left(x \right)<br />
  
    F_{388}\! \left(x \right) = -F_{356}\! \left(x \right)+F_{389}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = -F_{318}\! \left(x \right)+F_{390}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = \frac{F_{391}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{391}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{353}\! \left(x \right) F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = \frac{F_{394}\! \left(x \right)}{F_{54}\! \left(x \right)}<br />
  
    F_{394}\! \left(x \right) = -F_{401}\! \left(x \right)+F_{395}\! \left(x \right)<br />
  
    F_{395}\! \left(x \right) = -F_{400}\! \left(x \right)+F_{396}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = -F_{399}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = \frac{F_{398}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{398}\! \left(x \right) = F_{343}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{318}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{356}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{2}\! \left(x \right) F_{388}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{310}\! \left(x \right)+F_{403}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{404}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{13}\! \left(x \right) F_{405}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = F_{406}\! \left(x \right)+F_{407}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{20}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{343}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{192}\! \left(x \right) F_{409}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{282}\! \left(x \right)+F_{285}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{485}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{2}\! \left(x \right) F_{412}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{342}\! \left(x \right)+F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{414}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{415}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{416}\! \left(x \right)+F_{424}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = F_{13}\! \left(x \right) F_{418}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{419}\! \left(x \right)+F_{421}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{420}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{2}\! \left(x \right)+F_{416}\! \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_{37}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{15}\! \left(x \right)+F_{420}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{425}\! \left(x \right)+F_{440}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{13}\! \left(x \right) F_{427}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{428}\! \left(x \right)+F_{431}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{19}\! \left(x \right)+F_{429}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = F_{268}\! \left(x \right)+F_{430}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{192}\! \left(x \right) F_{2}\! \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)+F_{434}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = F_{413}\! \left(x \right)+F_{425}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = -F_{412}\! \left(x \right)+F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = -F_{439}\! \left(x \right)+F_{437}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = \frac{F_{438}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{438}\! \left(x \right) = F_{6}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = F_{129}\! \left(x \right)+F_{428}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = F_{441}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = F_{13}\! \left(x \right) F_{442}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = F_{443}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = F_{424}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = F_{422}\! \left(x \right) F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{424}\! \left(x \right)+F_{446}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{192}\! \left(x \right)+F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{448}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{13}\! \left(x \right) F_{449}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{450}\! \left(x \right)+F_{451}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{11}\! \left(x \right)+F_{447}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{452}\! \left(x \right)+F_{459}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{13}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{455}\! \left(x \right)+F_{456}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{11}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = F_{264}\! \left(x \right)+F_{457}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = F_{458}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{13}\! \left(x \right) F_{452}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{460}\! \left(x \right)+F_{473}\! \left(x \right)<br />
  
    F_{460}\! \left(x \right) = F_{13}\! \left(x \right) F_{461}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)+F_{471}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{447}\! \left(x \right)+F_{463}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = F_{464}\! \left(x \right)<br />
  
    F_{464}\! \left(x \right) = F_{13}\! \left(x \right) F_{465}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = F_{462}\! \left(x \right)+F_{466}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{467}\! \left(x \right)+F_{469}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{13}\! \left(x \right) F_{447}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{470}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{13}\! \left(x \right) F_{463}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{472}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{468}\! \left(x \right)+F_{473}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{13}\! \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_{264}\! \left(x \right)+F_{472}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = F_{477}\! \left(x \right)+F_{480}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{458}\! \left(x \right)+F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = F_{13}\! \left(x \right) F_{479}\! \left(x \right)<br />
  
    F_{479}\! \left(x \right) = F_{456}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{470}\! \left(x \right)+F_{481}\! \left(x \right)+F_{483}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = F_{13}\! \left(x \right) F_{482}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{471}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = 0<br />
  
    F_{484}\! \left(x \right) = F_{470}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{486}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{487}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{488}\! \left(x \right)+F_{489}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{2}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{0}\! \left(x \right) F_{490}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{13}\! \left(x \right) F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{493}\! \left(x \right)+F_{512}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{0}\! \left(x \right) F_{494}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{25}\! \left(x \right)+F_{495}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{496}\! \left(x \right)+F_{497}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{86}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{498}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{13}\! \left(x \right) F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{500}\! \left(x \right)+F_{55}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = -F_{511}\! \left(x \right)+F_{501}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = \frac{F_{503}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{503}\! \left(x \right) = -F_{506}\! \left(x \right)+F_{504}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = \frac{F_{505}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{505}\! \left(x \right) = F_{296}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{507}\! \left(x \right)+F_{508}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{2}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{509}\! \left(x \right)+F_{510}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = F_{49}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{49}\! \left(x \right) F_{501}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{37}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{513}\! \left(x \right)+F_{514}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{2}\! \left(x \right) F_{494}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{351}\! \left(x \right)+F_{515}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{49}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = F_{2}\! \left(x \right) F_{517}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = F_{518}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{13}\! \left(x \right) F_{519}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{520}\! \left(x \right)+F_{532}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{521}\! \left(x \right)+F_{526}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{522}\! \left(x \right)+F_{523}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{2}\! \left(x \right) F_{319}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = F_{524}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = F_{525}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = F_{11}\! \left(x \right)+F_{381}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = F_{527}\! \left(x \right)+F_{528}\! \left(x \right)<br />
  
    F_{527}\! \left(x \right) = F_{2}\! \left(x \right) F_{330}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = F_{530}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{530}\! \left(x \right) = F_{20}\! \left(x \right)+F_{531}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = F_{13}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{539}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = F_{534}\! \left(x \right)+F_{535}\! \left(x \right)<br />
  
    F_{534}\! \left(x \right) = F_{2}\! \left(x \right) F_{356}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{536}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{537}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{342}\! \left(x \right)+F_{538}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = F_{15}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{401}\! \left(x \right)+F_{540}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{541}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{54}\! \left(x \right) F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{343}\! \left(x \right)+F_{402}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{544}\! \left(x \right)+F_{703}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{545}\! \left(x \right)+F_{601}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{2}\! \left(x \right) F_{546}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{547}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{13}\! \left(x \right) F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{549}\! \left(x \right)+F_{596}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{0}\! \left(x \right) F_{550}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{425}\! \left(x \right)+F_{551}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{552}\! \left(x \right)+F_{594}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{364}\! \left(x \right)+F_{553}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{13}\! \left(x \right) F_{554}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)+F_{556}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{37}\! \left(x \right)+F_{552}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{363}\! \left(x \right)+F_{557}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{558}\! \left(x \right)+F_{569}\! \left(x \right)+F_{582}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{13}\! \left(x \right) F_{559}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{452}\! \left(x \right)+F_{560}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{558}\! \left(x \right)+F_{561}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{13}\! \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_{363}\! \left(x \right)+F_{560}\! \left(x \right)<br />
  
    F_{564}\! \left(x \right) = F_{369}\! \left(x \right)+F_{565}\! \left(x \right)<br />
  
    F_{565}\! \left(x \right) = 3 F_{84}\! \left(x \right)+F_{566}\! \left(x \right)+F_{568}\! \left(x \right)<br />
  
    F_{566}\! \left(x \right) = F_{13}\! \left(x \right) F_{567}\! \left(x \right)<br />
  
    F_{567}\! \left(x \right) = F_{457}\! \left(x \right)+F_{565}\! \left(x \right)<br />
  
    F_{568}\! \left(x \right) = F_{13}\! \left(x \right) F_{560}\! \left(x \right)<br />
  
    F_{569}\! \left(x \right) = F_{13}\! \left(x \right) F_{570}\! \left(x \right)<br />
  
    F_{570}\! \left(x \right) = F_{571}\! \left(x \right)+F_{580}\! \left(x \right)<br />
  
    F_{571}\! \left(x \right) = F_{552}\! \left(x \right)+F_{572}\! \left(x \right)<br />
  
    F_{572}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{558}\! \left(x \right)+F_{573}\! \left(x \right)<br />
  
    F_{573}\! \left(x \right) = F_{13}\! \left(x \right) F_{574}\! \left(x \right)<br />
  
    F_{574}\! \left(x \right) = F_{571}\! \left(x \right)+F_{575}\! \left(x \right)<br />
  
    F_{575}\! \left(x \right) = F_{576}\! \left(x \right)+F_{578}\! \left(x \right)<br />
  
    F_{576}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{370}\! \left(x \right)+F_{577}\! \left(x \right)<br />
  
    F_{577}\! \left(x \right) = F_{13}\! \left(x \right) F_{552}\! \left(x \right)<br />
  
    F_{578}\! \left(x \right) = 3 F_{84}\! \left(x \right)+F_{566}\! \left(x \right)+F_{579}\! \left(x \right)<br />
  
    F_{579}\! \left(x \right) = F_{13}\! \left(x \right) F_{572}\! \left(x \right)<br />
  
    F_{580}\! \left(x \right) = F_{581}\! \left(x \right)+F_{593}\! \left(x \right)<br />
  
    F_{581}\! \left(x \right) = F_{370}\! \left(x \right)+F_{577}\! \left(x \right)+F_{582}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{582}\! \left(x \right) = F_{13}\! \left(x \right) F_{583}\! \left(x \right)<br />
  
    F_{583}\! \left(x \right) = F_{584}\! \left(x \right)+F_{585}\! \left(x \right)<br />
  
    F_{584}\! \left(x \right) = F_{581}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{585}\! \left(x \right) = F_{586}\! \left(x \right)+F_{589}\! \left(x \right)<br />
  
    F_{586}\! \left(x \right) = F_{370}\! \left(x \right)+F_{372}\! \left(x \right)+F_{587}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{587}\! \left(x \right) = F_{13}\! \left(x \right) F_{588}\! \left(x \right)<br />
  
    F_{588}\! \left(x \right) = F_{368}\! \left(x \right)<br />
  
    F_{589}\! \left(x \right) = F_{566}\! \left(x \right)+F_{579}\! \left(x \right)+F_{590}\! \left(x \right)+F_{592}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{590}\! \left(x \right) = F_{13}\! \left(x \right) F_{591}\! \left(x \right)<br />
  
    F_{591}\! \left(x \right) = F_{580}\! \left(x \right)<br />
  
    F_{592}\! \left(x \right) = 0<br />
  
    F_{593}\! \left(x \right) = 3 F_{84}\! \left(x \right)+F_{566}\! \left(x \right)+F_{579}\! \left(x \right)<br />
  
    F_{594}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{595}\! \left(x \right)<br />
  
    F_{595}\! \left(x \right) = -F_{555}\! \left(x \right)+F_{62}\! \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_{2}\! \left(x \right) F_{550}\! \left(x \right)<br />
  
    F_{598}\! \left(x \right) = F_{599}\! \left(x \right)+F_{600}\! \left(x \right)<br />
  
    F_{599}\! \left(x \right) = F_{425}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{600}\! \left(x \right) = F_{49}\! \left(x \right) F_{551}\! \left(x \right)<br />
  
    F_{601}\! \left(x \right) = F_{0}\! \left(x \right) F_{602}\! \left(x \right)<br />
  
    F_{602}\! \left(x \right) = F_{603}\! \left(x \right)<br />
  
    F_{603}\! \left(x \right) = F_{13}\! \left(x \right) F_{604}\! \left(x \right)<br />
  
    F_{604}\! \left(x \right) = F_{605}\! \left(x \right)+F_{688}\! \left(x \right)<br />
  
    F_{605}\! \left(x \right) = F_{0}\! \left(x \right) F_{606}\! \left(x \right)<br />
  
    F_{606}\! \left(x \right) = \frac{F_{607}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{607}\! \left(x \right) = F_{608}\! \left(x \right)<br />
  
    F_{608}\! \left(x \right) = \frac{F_{609}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{609}\! \left(x \right) = -F_{685}\! \left(x \right)+F_{610}\! \left(x \right)<br />
  
    F_{610}\! \left(x \right) = -F_{678}\! \left(x \right)+F_{611}\! \left(x \right)<br />
  
    F_{611}\! \left(x \right) = -F_{674}\! \left(x \right)+F_{612}\! \left(x \right)<br />
  
    F_{612}\! \left(x \right) = -F_{645}\! \left(x \right)+F_{613}\! \left(x \right)<br />
  
    F_{613}\! \left(x \right) = \frac{F_{614}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{614}\! \left(x \right) = F_{615}\! \left(x \right)<br />
  
    F_{615}\! \left(x \right) = F_{13}\! \left(x \right) F_{616}\! \left(x \right)<br />
  
    F_{616}\! \left(x \right) = F_{617}\! \left(x \right)+F_{621}\! \left(x \right)<br />
  
    F_{617}\! \left(x \right) = F_{618}\! \left(x \right)<br />
  
    F_{618}\! \left(x \right) = F_{13}\! \left(x \right) F_{619}\! \left(x \right)<br />
  
    F_{619}\! \left(x \right) = F_{121}\! \left(x \right)+F_{620}\! \left(x \right)<br />
  
    F_{620}\! \left(x \right) = F_{0}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{621}\! \left(x \right) = F_{622}\! \left(x \right)+F_{624}\! \left(x \right)<br />
  
    F_{622}\! \left(x \right) = F_{623}\! \left(x \right)<br />
  
    F_{623}\! \left(x \right) = F_{2} \left(x \right)^{2}<br />
  
    F_{624}\! \left(x \right) = F_{625}\! \left(x \right)<br />
  
    F_{625}\! \left(x \right) = F_{13}\! \left(x \right) F_{626}\! \left(x \right)<br />
  
    F_{626}\! \left(x \right) = F_{627}\! \left(x \right)+F_{628}\! \left(x \right)<br />
  
    F_{627}\! \left(x \right) = F_{119}\! \left(x \right) F_{66}\! \left(x \right)<br />
  
    F_{628}\! \left(x \right) = F_{0}\! \left(x \right) F_{629}\! \left(x \right)<br />
  
    F_{629}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{630}\! \left(x \right)<br />
  
    F_{630}\! \left(x \right) = -F_{639}\! \left(x \right)+F_{631}\! \left(x \right)<br />
  
    F_{631}\! \left(x \right) = -F_{634}\! \left(x \right)+F_{632}\! \left(x \right)<br />
  
    F_{632}\! \left(x \right) = \frac{F_{633}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{633}\! \left(x \right) = F_{66}\! \left(x \right)<br />
  
    F_{634}\! \left(x \right) = F_{635}\! \left(x \right)+F_{636}\! \left(x \right)<br />
  
    F_{635}\! \left(x \right) = F_{2}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{636}\! \left(x \right) = F_{637}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{637}\! \left(x \right) = F_{638}\! \left(x \right)<br />
  
    F_{638}\! \left(x \right) = F_{13} \left(x \right)^{2} F_{632}\! \left(x \right)<br />
  
    F_{639}\! \left(x \right) = F_{640}\! \left(x \right)+F_{641}\! \left(x \right)<br />
  
    F_{640}\! \left(x \right) = F_{2}\! \left(x \right) F_{422}\! \left(x \right)<br />
  
    F_{641}\! \left(x \right) = F_{642}\! \left(x \right)+F_{643}\! \left(x \right)<br />
  
    F_{642}\! \left(x \right) = F_{37}\! \left(x \right) F_{66}\! \left(x \right)<br />
  
    F_{643}\! \left(x \right) = F_{644}\! \left(x \right)<br />
  
    F_{644}\! \left(x \right) = F_{13}\! \left(x \right) F_{632}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{645}\! \left(x \right) = F_{646}\! \left(x \right)+F_{672}\! \left(x \right)<br />
  
    F_{646}\! \left(x \right) = F_{2}\! \left(x \right) F_{647}\! \left(x \right)<br />
  
    F_{647}\! \left(x \right) = F_{13}\! \left(x \right)+F_{648}\! \left(x \right)<br />
  
    F_{648}\! \left(x \right) = F_{649}\! \left(x \right)+F_{671}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{649}\! \left(x \right) = F_{13}\! \left(x \right) F_{650}\! \left(x \right)<br />
  
    F_{650}\! \left(x \right) = F_{647}\! \left(x \right)+F_{651}\! \left(x \right)<br />
  
    F_{651}\! \left(x \right) = F_{164}\! \left(x \right)+F_{652}\! \left(x \right)<br />
  
    F_{652}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{653}\! \left(x \right)+F_{659}\! \left(x \right)<br />
  
    F_{653}\! \left(x \right) = F_{13}\! \left(x \right) F_{654}\! \left(x \right)<br />
  
    F_{654}\! \left(x \right) = F_{655}\! \left(x \right)+F_{656}\! \left(x \right)<br />
  
    F_{655}\! \left(x \right) = F_{648}\! \left(x \right)+F_{652}\! \left(x \right)<br />
  
    F_{656}\! \left(x \right) = F_{657}\! \left(x \right)+F_{669}\! \left(x \right)<br />
  
    F_{657}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{658}\! \left(x \right)+F_{659}\! \left(x \right)<br />
  
    F_{658}\! \left(x \right) = F_{13}\! \left(x \right) F_{648}\! \left(x \right)<br />
  
    F_{659}\! \left(x \right) = F_{13}\! \left(x \right) F_{660}\! \left(x \right)<br />
  
    F_{660}\! \left(x \right) = F_{661}\! \left(x \right)+F_{662}\! \left(x \right)<br />
  
    F_{661}\! \left(x \right) = F_{169}\! \left(x \right)+F_{657}\! \left(x \right)<br />
  
    F_{662}\! \left(x \right) = F_{663}\! \left(x \right)+F_{666}\! \left(x \right)<br />
  
    F_{663}\! \left(x \right) = F_{664}\! \left(x \right)<br />
  
    F_{664}\! \left(x \right) = F_{13}\! \left(x \right) F_{665}\! \left(x \right)<br />
  
    F_{665}\! \left(x \right) = F_{169}\! \left(x \right)<br />
  
    F_{666}\! \left(x \right) = F_{667}\! \left(x \right)<br />
  
    F_{667}\! \left(x \right) = F_{13}\! \left(x \right) F_{668}\! \left(x \right)<br />
  
    F_{668}\! \left(x \right) = F_{657}\! \left(x \right)<br />
  
    F_{669}\! \left(x \right) = F_{670}\! \left(x \right)<br />
  
    F_{670}\! \left(x \right) = F_{13}\! \left(x \right) F_{652}\! \left(x \right)<br />
  
    F_{671}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{672}\! \left(x \right) = F_{13}\! \left(x \right) F_{673}\! \left(x \right)<br />
  
    F_{673}\! \left(x \right) = F_{185}\! \left(x \right)+F_{190}\! \left(x \right)<br />
  
    F_{674}\! \left(x \right) = F_{2}\! \left(x \right) F_{675}\! \left(x \right)<br />
  
    F_{675}\! \left(x \right) = F_{41}\! \left(x \right)+F_{676}\! \left(x \right)<br />
  
    F_{676}\! \left(x \right) = F_{677}\! \left(x \right)<br />
  
    F_{677}\! \left(x \right) = F_{13}\! \left(x \right) F_{415}\! \left(x \right)<br />
  
    F_{678}\! \left(x \right) = F_{679}\! \left(x \right)+F_{682}\! \left(x \right)<br />
  
    F_{679}\! \left(x \right) = F_{2}\! \left(x \right) F_{680}\! \left(x \right)<br />
  
    F_{680}\! \left(x \right) = F_{681}\! \left(x \right)<br />
  
    F_{681}\! \left(x \right) = F_{13}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{682}\! \left(x \right) = F_{0}\! \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_{13}\! \left(x \right) F_{494}\! \left(x \right)<br />
  
    F_{685}\! \left(x \right) = F_{2}\! \left(x \right) F_{686}\! \left(x \right)<br />
  
    F_{686}\! \left(x \right) = F_{687}\! \left(x \right)<br />
  
    F_{687}\! \left(x \right) = F_{13}\! \left(x \right) F_{550}\! \left(x \right)<br />
  
    F_{688}\! \left(x \right) = F_{689}\! \left(x \right)+F_{690}\! \left(x \right)<br />
  
    F_{689}\! \left(x \right) = F_{2}\! \left(x \right) F_{606}\! \left(x \right)<br />
  
    F_{690}\! \left(x \right) = F_{691}\! \left(x \right)+F_{701}\! \left(x \right)<br />
  
    F_{691}\! \left(x \right) = F_{6}\! \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_{13}\! \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_{20}\! \left(x \right)+F_{429}\! \left(x \right)<br />
  
    F_{696}\! \left(x \right) = F_{697}\! \left(x \right)+F_{698}\! \left(x \right)<br />
  
    F_{697}\! \left(x \right) = F_{342}\! \left(x \right)+F_{434}\! \left(x \right)<br />
  
    F_{698}\! \left(x \right) = F_{517}\! \left(x \right)+F_{699}\! \left(x \right)<br />
  
    F_{699}\! \left(x \right) = -F_{700}\! \left(x \right)+F_{435}\! \left(x \right)<br />
  
    F_{700}\! \left(x \right) = F_{49}\! \left(x \right)+F_{517}\! \left(x \right)<br />
  
    F_{701}\! \left(x \right) = F_{49}\! \left(x \right) F_{702}\! \left(x \right)<br />
  
    F_{702}\! \left(x \right) = -F_{692}\! \left(x \right)+F_{606}\! \left(x \right)<br />
  
    F_{703}\! \left(x \right) = F_{2}\! \left(x \right) F_{704}\! \left(x \right)<br />
  
    F_{704}\! \left(x \right) = -F_{546}\! \left(x \right)+F_{699}\! \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_{707}\! \left(x \right)<br />
  
    F_{707}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right) F_{66}\! \left(x \right)<br />
  
    F_{708}\! \left(x \right) = F_{709}\! \left(x \right)<br />
  
    F_{709}\! \left(x \right) = F_{111}\! \left(x \right) F_{13}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{710}\! \left(x \right) = F_{2}\! \left(x \right)+F_{617}\! \left(x \right)<br />
  
    F_{711}\! \left(x \right) = F_{712}\! \left(x \right)<br />
  
    F_{712}\! \left(x \right) = F_{15}\! \left(x \right) F_{185}\! \left(x \right) F_{2}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{713}\! \left(x \right) = F_{714}\! \left(x \right)<br />
  
    F_{714}\! \left(x \right) = F_{2}\! \left(x \right) F_{715}\! \left(x \right)<br />
  
    F_{715}\! \left(x \right) = F_{716}\! \left(x \right)+F_{739}\! \left(x \right)<br />
  
    F_{716}\! \left(x \right) = F_{717}\! \left(x \right)+F_{719}\! \left(x \right)<br />
  
    F_{717}\! \left(x \right) = F_{718}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{718}\! \left(x \right) = F_{0}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{719}\! \left(x \right) = F_{720}\! \left(x \right)+F_{721}\! \left(x \right)<br />
  
    F_{720}\! \left(x \right) = F_{2}\! \left(x \right) F_{363}\! \left(x \right)<br />
  
    F_{721}\! \left(x \right) = F_{0}\! \left(x \right) F_{722}\! \left(x \right)<br />
  
    F_{722}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{723}\! \left(x \right)+F_{725}\! \left(x \right)<br />
  
    F_{723}\! \left(x \right) = F_{13}\! \left(x \right) F_{724}\! \left(x \right)<br />
  
    F_{724}\! \left(x \right) = F_{226}\! \left(x \right)+F_{722}\! \left(x \right)<br />
  
    F_{725}\! \left(x \right) = F_{13}\! \left(x \right) F_{726}\! \left(x \right)<br />
  
    F_{726}\! \left(x \right) = F_{727}\! \left(x \right)+F_{728}\! \left(x \right)<br />
  
    F_{727}\! \left(x \right) = F_{722}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{728}\! \left(x \right) = F_{729}\! \left(x \right)+F_{734}\! \left(x \right)<br />
  
    F_{729}\! \left(x \right) = 2 F_{84}\! \left(x \right)+F_{730}\! \left(x \right)+F_{733}\! \left(x \right)<br />
  
    F_{730}\! \left(x \right) = F_{13}\! \left(x \right) F_{731}\! \left(x \right)<br />
  
    F_{731}\! \left(x \right) = F_{729}\! \left(x \right)+F_{732}\! \left(x \right)<br />
  
    F_{732}\! \left(x \right) = F_{170}\! \left(x \right)<br />
  
    F_{733}\! \left(x \right) = F_{13}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{734}\! \left(x \right) = 3 F_{84}\! \left(x \right)+F_{735}\! \left(x \right)+F_{738}\! \left(x \right)<br />
  
    F_{735}\! \left(x \right) = F_{13}\! \left(x \right) F_{736}\! \left(x \right)<br />
  
    F_{736}\! \left(x \right) = F_{734}\! \left(x \right)+F_{737}\! \left(x \right)<br />
  
    F_{737}\! \left(x \right) = F_{231}\! \left(x \right)<br />
  
    F_{738}\! \left(x \right) = F_{13}\! \left(x \right) F_{722}\! \left(x \right)<br />
  
    F_{739}\! \left(x \right) = F_{740}\! \left(x \right)+F_{743}\! \left(x \right)<br />
  
    F_{740}\! \left(x \right) = F_{741}\! \left(x \right)+F_{742}\! \left(x \right)<br />
  
    F_{741}\! \left(x \right) = F_{2}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{742}\! \left(x \right) = F_{0}\! \left(x \right) F_{729}\! \left(x \right)<br />
  
    F_{743}\! \left(x \right) = F_{744}\! \left(x \right)+F_{745}\! \left(x \right)<br />
  
    F_{744}\! \left(x \right) = F_{2}\! \left(x \right) F_{369}\! \left(x \right)<br />
  
    F_{745}\! \left(x \right) = F_{0}\! \left(x \right) F_{734}\! \left(x \right)<br />
  
    F_{746}\! \left(x \right) = F_{747}\! \left(x \right)<br />
  
    F_{747}\! \left(x \right) = F_{748}\! \left(x \right)+F_{755}\! \left(x \right)<br />
  
    F_{748}\! \left(x \right) = F_{749}\! \left(x \right)+F_{752}\! \left(x \right)<br />
  
    F_{749}\! \left(x \right) = F_{750}\! \left(x \right)+F_{751}\! \left(x \right)<br />
  
    F_{750}\! \left(x \right) = F_{37} \left(x \right)^{2} F_{2}\! \left(x \right)<br />
  
    F_{751}\! \left(x \right) = F_{105}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{752}\! \left(x \right) = F_{753}\! \left(x \right)+F_{754}\! \left(x \right)<br />
  
    F_{753}\! \left(x \right) = F_{2}\! \left(x \right) F_{363}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{754}\! \left(x \right) = F_{105}\! \left(x \right) F_{722}\! \left(x \right)<br />
  
    F_{755}\! \left(x \right) = F_{756}\! \left(x \right)+F_{759}\! \left(x \right)<br />
  
    F_{756}\! \left(x \right) = F_{757}\! \left(x \right)+F_{758}\! \left(x \right)<br />
  
    F_{757}\! \left(x \right) = F_{2}\! \left(x \right) F_{37}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{758}\! \left(x \right) = F_{105}\! \left(x \right) F_{729}\! \left(x \right)<br />
  
    F_{759}\! \left(x \right) = F_{760}\! \left(x \right)+F_{761}\! \left(x \right)<br />
  
    F_{760}\! \left(x \right) = F_{2}\! \left(x \right) F_{369}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{761}\! \left(x \right) = F_{105}\! \left(x \right) F_{734}\! \left(x \right)<br />
  
    F_{762}\! \left(x \right) = F_{37}\! \left(x \right) F_{763}\! \left(x \right)<br />
  
    F_{763}\! \left(x \right) = F_{119}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{764}\! \left(x \right) = F_{765}\! \left(x \right)<br />
  
    F_{765}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{766}\! \left(x \right) = F_{2}\! \left(x \right) F_{367}\! \left(x \right)<br />
  
    F_{767}\! \left(x \right) = F_{367}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{768}\! \left(x \right) = F_{769}\! \left(x \right)+F_{770}\! \left(x \right)<br />
  
    F_{769}\! \left(x \right) = F_{2}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{770}\! \left(x \right) = F_{771}\! \left(x \right)+F_{772}\! \left(x \right)<br />
  
    F_{771}\! \left(x \right) = F_{2}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{772}\! \left(x \right) = F_{49}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{773}\! \left(x \right) = F_{774}\! \left(x \right)<br />
  
    F_{774}\! \left(x \right) = F_{13}\! \left(x \right) F_{775}\! \left(x \right)<br />
  
    F_{775}\! \left(x \right) = F_{49}\! \left(x \right)+F_{776}\! \left(x \right)<br />
  
    F_{776}\! \left(x \right) = F_{6}\! \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_{781}\! \left(x \right)+F_{779}\! \left(x \right)<br />
  
    F_{779}\! \left(x \right) = \frac{F_{780}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{780}\! \left(x \right) = F_{49}\! \left(x \right)<br />
  
    F_{781}\! \left(x \right) = F_{782}\! \left(x \right)+F_{783}\! \left(x \right)<br />
  
    F_{782}\! \left(x \right) = F_{13}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{783}\! \left(x \right) = F_{784}\! \left(x \right)+F_{785}\! \left(x \right)<br />
  
    F_{784}\! \left(x \right) = F_{13}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{785}\! \left(x \right) = F_{49}\! \left(x \right)+F_{786}\! \left(x \right)<br />
  
    F_{786}\! \left(x \right) = F_{787}\! \left(x \right)<br />
  
    F_{787}\! \left(x \right) = F_{13}\! \left(x \right) F_{25}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{788}\! \left(x \right) = F_{789}\! \left(x \right)+F_{790}\! \left(x \right)<br />
  
    F_{789}\! \left(x \right) = F_{19}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{790}\! \left(x \right) = F_{791}\! \left(x \right)+F_{792}\! \left(x \right)<br />
  
    F_{791}\! \left(x \right) = F_{300}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{792}\! \left(x \right) = F_{1316}\! \left(x \right)+F_{793}\! \left(x \right)<br />
  
    F_{793}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{794}\! \left(x \right)<br />
  
    F_{794}\! \left(x \right) = -F_{332}\! \left(x \right)+F_{795}\! \left(x \right)<br />
  
    F_{795}\! \left(x \right) = \frac{F_{796}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{796}\! \left(x \right) = F_{797}\! \left(x \right)<br />
  
    F_{797}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{798}\! \left(x \right)<br />
  
    F_{798}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{799}\! \left(x \right)<br />
  
    F_{799}\! \left(x \right) = -F_{1266}\! \left(x \right)+F_{800}\! \left(x \right)<br />
  
    F_{800}\! \left(x \right) = -F_{823}\! \left(x \right)+F_{801}\! \left(x \right)<br />
  
    F_{801}\! \left(x \right) = \frac{F_{802}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{802}\! \left(x \right) = F_{803}\! \left(x \right)<br />
  
    F_{803}\! \left(x \right) = F_{13}\! \left(x \right) F_{804}\! \left(x \right)<br />
  
    F_{804}\! \left(x \right) = F_{805}\! \left(x \right)+F_{806}\! \left(x \right)<br />
  
    F_{805}\! \left(x \right) = F_{623}\! \left(x \right)<br />
  
    F_{806}\! \left(x \right) = F_{6}\! \left(x \right)+F_{807}\! \left(x \right)<br />
  
    F_{807}\! \left(x \right) = -F_{805}\! \left(x \right)+F_{808}\! \left(x \right)<br />
  
    F_{808}\! \left(x \right) = -F_{811}\! \left(x \right)+F_{809}\! \left(x \right)<br />
  
    F_{809}\! \left(x \right) = \frac{F_{810}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{810}\! \left(x \right) = F_{124}\! \left(x \right)<br />
  
    F_{811}\! \left(x \right) = F_{812}\! \left(x \right)+F_{814}\! \left(x \right)<br />
  
    F_{812}\! \left(x \right) = F_{813}\! \left(x \right)<br />
  
    F_{813}\! \left(x \right) = F_{195}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{814}\! \left(x \right) = F_{124}\! \left(x \right)+F_{815}\! \left(x \right)<br />
  
    F_{815}\! \left(x \right) = F_{816}\! \left(x \right)<br />
  
    F_{816}\! \left(x \right) = F_{13}\! \left(x \right) F_{817}\! \left(x \right)<br />
  
    F_{817}\! \left(x \right) = F_{818}\! \left(x \right)+F_{821}\! \left(x \right)<br />
  
    F_{818}\! \left(x \right) = F_{6}\! \left(x \right) F_{819}\! \left(x \right)<br />
  
    F_{819}\! \left(x \right) = \frac{F_{820}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{820}\! \left(x \right) = F_{425}\! \left(x \right)<br />
  
    F_{821}\! \left(x \right) = F_{808}\! \left(x \right) F_{822}\! \left(x \right)<br />
  
    F_{822}\! \left(x \right) = F_{192}\! \left(x \right)+F_{425}\! \left(x \right)<br />
  
    F_{823}\! \left(x \right) = F_{1099}\! \left(x \right)+F_{824}\! \left(x \right)<br />
  
    F_{824}\! \left(x \right) = F_{825}\! \left(x \right)+F_{827}\! \left(x \right)<br />
  
    F_{825}\! \left(x \right) = F_{826}\! \left(x \right)<br />
  
    F_{826}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{827}\! \left(x \right) = F_{828}\! \left(x \right)+F_{885}\! \left(x \right)<br />
  
    F_{828}\! \left(x \right) = F_{829}\! \left(x \right)<br />
  
    F_{829}\! \left(x \right) = F_{13}\! \left(x \right) F_{830}\! \left(x \right)<br />
  
    F_{830}\! \left(x \right) = F_{805}\! \left(x \right)+F_{831}\! \left(x \right)<br />
  
    F_{831}\! \left(x \right) = F_{832}\! \left(x \right)+F_{864}\! \left(x \right)<br />
  
    F_{832}\! \left(x \right) = F_{833}\! \left(x \right)<br />
  
    F_{833}\! \left(x \right) = F_{13}\! \left(x \right) F_{834}\! \left(x \right)<br />
  
    F_{834}\! \left(x \right) = F_{835}\! \left(x \right)+F_{840}\! \left(x \right)<br />
  
    F_{835}\! \left(x \right) = F_{782}\! \left(x \right)+F_{836}\! \left(x \right)<br />
  
    F_{836}\! \left(x \right) = F_{41}\! \left(x \right)+F_{837}\! \left(x \right)<br />
  
    F_{837}\! \left(x \right) = F_{49}\! \left(x \right)+F_{838}\! \left(x \right)<br />
  
    F_{838}\! \left(x \right) = F_{839}\! \left(x \right)<br />
  
    F_{839}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{27}\! \left(x \right)<br />
  
    F_{840}\! \left(x \right) = F_{841}\! \left(x \right)+F_{844}\! \left(x \right)<br />
  
    F_{841}\! \left(x \right) = F_{41}\! \left(x \right)+F_{842}\! \left(x \right)<br />
  
    F_{842}\! \left(x \right) = F_{832}\! \left(x \right)+F_{843}\! \left(x \right)<br />
  
    F_{843}\! \left(x \right) = F_{839}\! \left(x \right)<br />
  
    F_{844}\! \left(x \right) = F_{845}\! \left(x \right)+F_{846}\! \left(x \right)<br />
  
    F_{845}\! \left(x \right) = F_{13}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{846}\! \left(x \right) = F_{847}\! \left(x \right)+F_{862}\! \left(x \right)<br />
  
    F_{847}\! \left(x \right) = F_{848}\! \left(x \right)<br />
  
    F_{848}\! \left(x \right) = F_{13}\! \left(x \right) F_{849}\! \left(x \right)<br />
  
    F_{849}\! \left(x \right) = F_{850}\! \left(x \right)+F_{855}\! \left(x \right)<br />
  
    F_{850}\! \left(x \right) = F_{0}\! \left(x \right) F_{851}\! \left(x \right)<br />
  
    F_{851}\! \left(x \right) = F_{852}\! \left(x \right)+F_{854}\! \left(x \right)<br />
  
    F_{852}\! \left(x \right) = F_{6}\! \left(x \right)+F_{853}\! \left(x \right)<br />
  
    F_{853}\! \left(x \right) = F_{41}\! \left(x \right)+F_{637}\! \left(x \right)<br />
  
    F_{854}\! \left(x \right) = F_{629}\! \left(x \right)+F_{639}\! \left(x \right)<br />
  
    F_{855}\! \left(x \right) = F_{856}\! \left(x \right)+F_{857}\! \left(x \right)<br />
  
    F_{856}\! \left(x \right) = F_{2}\! \left(x \right) F_{851}\! \left(x \right)<br />
  
    F_{857}\! \left(x \right) = F_{858}\! \left(x \right)+F_{861}\! \left(x \right)<br />
  
    F_{858}\! \left(x \right) = F_{859}\! \left(x \right)+F_{860}\! \left(x \right)<br />
  
    F_{859}\! \left(x \right) = F_{6} \left(x \right)^{2}<br />
  
    F_{860}\! \left(x \right) = F_{49}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{861}\! \left(x \right) = F_{49}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{862}\! \left(x \right) = F_{863}\! \left(x \right)<br />
  
    F_{863}\! \left(x \right) = F_{13}\! \left(x \right) F_{27}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{864}\! \left(x \right) = F_{865}\! \left(x \right)<br />
  
    F_{865}\! \left(x \right) = F_{13}\! \left(x \right) F_{866}\! \left(x \right)<br />
  
    F_{866}\! \left(x \right) = F_{867}\! \left(x \right)+F_{879}\! \left(x \right)<br />
  
    F_{867}\! \left(x \right) = F_{868}\! \left(x \right)+F_{874}\! \left(x \right)<br />
  
    F_{868}\! \left(x \right) = F_{869}\! \left(x \right)+F_{870}\! \left(x \right)<br />
  
    F_{869}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{870}\! \left(x \right) = F_{871}\! \left(x \right)+F_{872}\! \left(x \right)<br />
  
    F_{871}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right)<br />
  
    F_{872}\! \left(x \right) = F_{2}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{873}\! \left(x \right) = F_{2}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{874}\! \left(x \right) = F_{875}\! \left(x \right)+F_{876}\! \left(x \right)<br />
  
    F_{875}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{876}\! \left(x \right) = F_{877}\! \left(x \right)+F_{878}\! \left(x \right)<br />
  
    F_{877}\! \left(x \right) = F_{2}\! \left(x \right) F_{785}\! \left(x \right)<br />
  
    F_{878}\! \left(x \right) = F_{49}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{879}\! \left(x \right) = F_{880}\! \left(x \right)+F_{882}\! \left(x \right)<br />
  
    F_{880}\! \left(x \right) = F_{49}\! \left(x \right) F_{881}\! \left(x \right)<br />
  
    F_{881}\! \left(x \right) = F_{2}\! \left(x \right)+F_{873}\! \left(x \right)<br />
  
    F_{882}\! \left(x \right) = F_{883}\! \left(x \right)+F_{884}\! \left(x \right)<br />
  
    F_{883}\! \left(x \right) = F_{2}\! \left(x \right) F_{777}\! \left(x \right)<br />
  
    F_{884}\! \left(x \right) = F_{296}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{885}\! \left(x \right) = F_{886}\! \left(x \right)<br />
  
    F_{886}\! \left(x \right) = F_{13}\! \left(x \right) F_{887}\! \left(x \right)<br />
  
    F_{887}\! \left(x \right) = F_{888}\! \left(x \right)+F_{890}\! \left(x \right)<br />
  
    F_{888}\! \left(x \right) = F_{889}\! \left(x \right)<br />
  
    F_{889}\! \left(x \right) = F_{2} \left(x \right)^{2} F_{11}\! \left(x \right)<br />
  
    F_{890}\! \left(x \right) = F_{891}\! \left(x \right)+F_{908}\! \left(x \right)<br />
  
    F_{891}\! \left(x \right) = F_{892}\! \left(x \right)<br />
  
    F_{892}\! \left(x \right) = F_{13}\! \left(x \right) F_{893}\! \left(x \right)<br />
  
    F_{893}\! \left(x \right) = F_{894}\! \left(x \right)+F_{901}\! \left(x \right)<br />
  
    F_{894}\! \left(x \right) = F_{895}\! \left(x \right)+F_{898}\! \left(x \right)<br />
  
    F_{895}\! \left(x \right) = F_{522}\! \left(x \right)+F_{896}\! \left(x \right)<br />
  
    F_{896}\! \left(x \right) = F_{897}\! \left(x \right)<br />
  
    F_{897}\! \left(x \right) = F_{525}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{898}\! \left(x \right) = F_{527}\! \left(x \right)+F_{899}\! \left(x \right)<br />
  
    F_{899}\! \left(x \right) = F_{900}\! \left(x \right)<br />
  
    F_{900}\! \left(x \right) = F_{530}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{901}\! \left(x \right) = F_{902}\! \left(x \right)+F_{905}\! \left(x \right)<br />
  
    F_{902}\! \left(x \right) = F_{534}\! \left(x \right)+F_{903}\! \left(x \right)<br />
  
    F_{903}\! \left(x \right) = F_{904}\! \left(x \right)<br />
  
    F_{904}\! \left(x \right) = F_{537}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{905}\! \left(x \right) = F_{401}\! \left(x \right)+F_{906}\! \left(x \right)<br />
  
    F_{906}\! \left(x \right) = F_{907}\! \left(x \right)<br />
  
    F_{907}\! \left(x \right) = F_{542}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{908}\! \left(x \right) = -F_{1080}\! \left(x \right)+F_{909}\! \left(x \right)<br />
  
    F_{909}\! \left(x \right) = -F_{919}\! \left(x \right)+F_{910}\! \left(x \right)<br />
  
    F_{910}\! \left(x \right) = -F_{917}\! \left(x \right)+F_{911}\! \left(x \right)<br />
  
    F_{911}\! \left(x \right) = -F_{914}\! \left(x \right)+F_{912}\! \left(x \right)<br />
  
    F_{912}\! \left(x \right) = \frac{F_{913}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{913}\! \left(x \right) = F_{891}\! \left(x \right)<br />
  
    F_{914}\! \left(x \right) = F_{842}\! \left(x \right)+F_{915}\! \left(x \right)<br />
  
    F_{915}\! \left(x \right) = F_{916}\! \left(x \right)<br />
  
    F_{916}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{24}\! \left(x \right)<br />
  
    F_{917}\! \left(x \right) = F_{60}\! \left(x \right) F_{918}\! \left(x \right)<br />
  
    F_{918}\! \left(x \right) = F_{832}\! \left(x \right)+F_{891}\! \left(x \right)<br />
  
    F_{919}\! \left(x \right) = F_{1079}\! \left(x \right)+F_{920}\! \left(x \right)<br />
  
    F_{920}\! \left(x \right) = F_{921}\! \left(x \right)<br />
  
    F_{921}\! \left(x \right) = F_{13}\! \left(x \right) F_{922}\! \left(x \right)<br />
  
    F_{922}\! \left(x \right) = F_{1074}\! \left(x \right)+F_{923}\! \left(x \right)<br />
  
    F_{923}\! \left(x \right) = F_{0}\! \left(x \right) F_{924}\! \left(x \right)<br />
  
    F_{924}\! \left(x \right) = F_{832}\! \left(x \right)+F_{925}\! \left(x \right)<br />
  
    F_{925}\! \left(x \right) = F_{1073}\! \left(x \right)+F_{926}\! \left(x \right)<br />
  
    F_{926}\! \left(x \right) = -F_{832}\! \left(x \right)+F_{927}\! \left(x \right)<br />
  
    F_{927}\! \left(x \right) = \frac{F_{928}\! \left(x \right)}{F_{28}\! \left(x \right)}<br />
  
    F_{928}\! \left(x \right) = -F_{1068}\! \left(x \right)+F_{929}\! \left(x \right)<br />
  
    F_{929}\! \left(x \right) = \frac{F_{930}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{930}\! \left(x \right) = F_{931}\! \left(x \right)<br />
  
    F_{931}\! \left(x \right) = F_{13}\! \left(x \right) F_{932}\! \left(x \right)<br />
  
    F_{932}\! \left(x \right) = F_{864}\! \left(x \right)+F_{933}\! \left(x \right)<br />
  
    F_{933}\! \left(x \right) = F_{864}\! \left(x \right)+F_{934}\! \left(x \right)<br />
  
    F_{934}\! \left(x \right) = -F_{864}\! \left(x \right)+F_{935}\! \left(x \right)<br />
  
    F_{935}\! \left(x \right) = -F_{1067}\! \left(x \right)+F_{936}\! \left(x \right)<br />
  
    F_{936}\! \left(x \right) = \frac{F_{937}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{937}\! \left(x \right) = F_{938}\! \left(x \right)<br />
  
    F_{938}\! \left(x \right) = F_{13}\! \left(x \right) F_{939}\! \left(x \right)<br />
  
    F_{939}\! \left(x \right) = F_{940}\! \left(x \right)+F_{961}\! \left(x \right)<br />
  
    F_{940}\! \left(x \right) = F_{941}\! \left(x \right)+F_{946}\! \left(x \right)<br />
  
    F_{941}\! \left(x \right) = F_{942}\! \left(x \right)+F_{943}\! \left(x \right)<br />
  
    F_{942}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{29}\! \left(x \right)<br />
  
    F_{943}\! \left(x \right) = F_{944}\! \left(x \right)+F_{945}\! \left(x \right)<br />
  
    F_{944}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right) F_{29}\! \left(x \right)<br />
  
    F_{945}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{946}\! \left(x \right) = F_{947}\! \left(x \right)+F_{949}\! \left(x \right)<br />
  
    F_{947}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{948}\! \left(x \right)<br />
  
    F_{948}\! \left(x \right) = F_{83}\! \left(x \right)+F_{86}\! \left(x \right)<br />
  
    F_{949}\! \left(x \right) = F_{950}\! \left(x \right)+F_{960}\! \left(x \right)<br />
  
    F_{950}\! \left(x \right) = F_{2}\! \left(x \right) F_{951}\! \left(x \right)<br />
  
    F_{951}\! \left(x \right) = F_{952}\! \left(x \right)+F_{954}\! \left(x \right)<br />
  
    F_{952}\! \left(x \right) = F_{292}\! \left(x \right)+F_{953}\! \left(x \right)<br />
  
    F_{953}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{954}\! \left(x \right) = F_{955}\! \left(x \right)+F_{956}\! \left(x \right)<br />
  
    F_{955}\! \left(x \right) = F_{13}\! \left(x \right) F_{786}\! \left(x \right)<br />
  
    F_{956}\! \left(x \right) = F_{957}\! \left(x \right)<br />
  
    F_{957}\! \left(x \right) = F_{13}\! \left(x \right) F_{25}\! \left(x \right) F_{958}\! \left(x \right)<br />
  
    F_{958}\! \left(x \right) = F_{82}\! \left(x \right)+F_{959}\! \left(x \right)<br />
  
    F_{959}\! \left(x \right) = F_{13}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{960}\! \left(x \right) = F_{292}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{961}\! \left(x \right) = F_{962}\! \left(x \right)+F_{967}\! \left(x \right)<br />
  
    F_{962}\! \left(x \right) = F_{963}\! \left(x \right)+F_{966}\! \left(x \right)<br />
  
    F_{963}\! \left(x \right) = F_{2}\! \left(x \right) F_{964}\! \left(x \right)<br />
  
    F_{964}\! \left(x \right) = F_{310}\! \left(x \right)+F_{965}\! \left(x \right)<br />
  
    F_{965}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{966}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{967}\! \left(x \right) = F_{968}\! \left(x \right)+F_{977}\! \left(x \right)<br />
  
    F_{968}\! \left(x \right) = F_{2}\! \left(x \right) F_{969}\! \left(x \right)<br />
  
    F_{969}\! \left(x \right) = -F_{964}\! \left(x \right)+F_{970}\! \left(x \right)<br />
  
    F_{970}\! \left(x \right) = -F_{973}\! \left(x \right)+F_{971}\! \left(x \right)<br />
  
    F_{971}\! \left(x \right) = \frac{F_{972}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{972}\! \left(x \right) = F_{292}\! \left(x \right)<br />
  
    F_{973}\! \left(x \right) = F_{974}\! \left(x \right)+F_{975}\! \left(x \right)<br />
  
    F_{974}\! \left(x \right) = F_{29}\! \left(x \right) F_{782}\! \left(x \right)<br />
  
    F_{975}\! \left(x \right) = F_{951}\! \left(x \right)+F_{976}\! \left(x \right)<br />
  
    F_{976}\! \left(x \right) = F_{13}\! \left(x \right) F_{948}\! \left(x \right)<br />
  
    F_{977}\! \left(x \right) = F_{873}\! \left(x \right) F_{978}\! \left(x \right)<br />
  
    F_{978}\! \left(x \right) = \frac{F_{979}\! \left(x \right)}{F_{54}\! \left(x \right)}<br />
  
    F_{979}\! \left(x \right) = -F_{968}\! \left(x \right)+F_{980}\! \left(x \right)<br />
  
    F_{980}\! \left(x \right) = -F_{1065}\! \left(x \right)+F_{981}\! \left(x \right)<br />
  
    F_{981}\! \left(x \right) = -F_{1058}\! \left(x \right)+F_{982}\! \left(x \right)<br />
  
    F_{982}\! \left(x \right) = \frac{F_{983}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{983}\! \left(x \right) = F_{984}\! \left(x \right)<br />
  
    F_{984}\! \left(x \right) = -F_{1056}\! \left(x \right)+F_{985}\! \left(x \right)<br />
  
    F_{985}\! \left(x \right) = -F_{1053}\! \left(x \right)+F_{986}\! \left(x \right)<br />
  
    F_{986}\! \left(x \right) = -F_{1048}\! \left(x \right)+F_{987}\! \left(x \right)<br />
  
    F_{987}\! \left(x \right) = -F_{1033}\! \left(x \right)+F_{988}\! \left(x \right)<br />
  
    F_{988}\! \left(x \right) = \frac{F_{989}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{989}\! \left(x \right) = F_{990}\! \left(x \right)<br />
  
    F_{990}\! \left(x \right) = F_{13}\! \left(x \right) F_{991}\! \left(x \right)<br />
  
    F_{991}\! \left(x \right) = F_{992}\! \left(x \right)+F_{994}\! \left(x \right)<br />
  
    F_{992}\! \left(x \right) = F_{993}\! \left(x \right)<br />
  
    F_{993}\! \left(x \right) = F_{15}\! \left(x \right) F_{49}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{994}\! \left(x \right) = F_{1009}\! \left(x \right)+F_{995}\! \left(x \right)<br />
  
    F_{995}\! \left(x \right) = F_{996}\! \left(x \right)+F_{997}\! \left(x \right)<br />
  
    F_{996}\! \left(x \right) = F_{49}\! \left(x \right)+F_{490}\! \left(x \right)<br />
  
    F_{997}\! \left(x \right) = F_{1000}\! \left(x \right)+F_{998}\! \left(x \right)<br />
  
    F_{998}\! \left(x \right) = F_{999}\! \left(x \right)<br />
  
    F_{999}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right) F_{416}\! \left(x \right)<br />
  
    F_{1000}\! \left(x \right) = F_{1001}\! \left(x \right)<br />
  
    F_{1001}\! \left(x \right) = F_{1002}\! \left(x \right) F_{13}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{1002}\! \left(x \right) = F_{1003}\! \left(x \right)<br />
  
    F_{1003}\! \left(x \right) = F_{1004}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1004}\! \left(x \right) = F_{1005}\! \left(x \right)+F_{1007}\! \left(x \right)<br />
  
    F_{1005}\! \left(x \right) = F_{1006}\! \left(x \right)<br />
  
    F_{1006}\! \left(x \right) = F_{13}\! \left(x \right) F_{420}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{1007}\! \left(x \right) = F_{1008}\! \left(x \right) F_{423}\! \left(x \right)<br />
  
    F_{1008}\! \left(x \right) = F_{729}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{1009}\! \left(x \right) = F_{1010}\! \left(x \right)+F_{1028}\! \left(x \right)<br />
  
    F_{1010}\! \left(x \right) = F_{1011}\! \left(x \right)+F_{296}\! \left(x \right)<br />
  
    F_{1011}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{1012}\! \left(x \right)<br />
  
    F_{1012}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{1013}\! \left(x \right)<br />
  
    F_{1013}\! \left(x \right) = \frac{F_{1014}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1014}\! \left(x \right) = F_{1015}\! \left(x \right)<br />
  
    F_{1015}\! \left(x \right) = F_{1016}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1016}\! \left(x \right) = F_{1017}\! \left(x \right)+F_{300}\! \left(x \right)<br />
  
    F_{1017}\! \left(x \right) = F_{1018}\! \left(x \right)+F_{838}\! \left(x \right)<br />
  
    F_{1018}\! \left(x \right) = F_{1019}\! \left(x \right)<br />
  
    F_{1019}\! \left(x \right) = F_{1020}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1020}\! \left(x \right) = F_{1021}\! \left(x \right)+F_{1023}\! \left(x \right)<br />
  
    F_{1021}\! \left(x \right) = F_{1022}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{1022}\! \left(x \right) = F_{49}\! \left(x \right)+F_{500}\! \left(x \right)<br />
  
    F_{1023}\! \left(x \right) = F_{1024}\! \left(x \right)+F_{1025}\! \left(x \right)<br />
  
    F_{1024}\! \left(x \right) = F_{1022}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{1025}\! \left(x \right) = F_{1026}\! \left(x \right)+F_{1027}\! \left(x \right)<br />
  
    F_{1026}\! \left(x \right) = F_{42}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1027}\! \left(x \right) = F_{309}\! \left(x \right) F_{500}\! \left(x \right)<br />
  
    F_{1028}\! \left(x \right) = F_{1029}\! \left(x \right)+F_{1031}\! \left(x \right)<br />
  
    F_{1029}\! \left(x \right) = F_{1030}\! \left(x \right)<br />
  
    F_{1030}\! \left(x \right) = F_{13}\! \left(x \right) F_{418}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1031}\! \left(x \right) = F_{1032}\! \left(x \right)<br />
  
    F_{1032}\! \left(x \right) = F_{1004}\! \left(x \right) F_{13}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1033}\! \left(x \right) = F_{1034}\! \left(x \right)+F_{1041}\! \left(x \right)<br />
  
    F_{1034}\! \left(x \right) = F_{1035}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{1035}\! \left(x \right) = F_{1036}\! \left(x \right)<br />
  
    F_{1036}\! \left(x \right) = F_{1037}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1037}\! \left(x \right) = F_{1038}\! \left(x \right)+F_{1039}\! \left(x \right)<br />
  
    F_{1038}\! \left(x \right) = F_{2}\! \left(x \right) F_{362}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{1039}\! \left(x \right) = F_{1040}\! \left(x \right) F_{374}\! \left(x \right)<br />
  
    F_{1040}\! \left(x \right) = F_{310}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{1041}\! \left(x \right) = F_{1042}\! \left(x \right)+F_{292}\! \left(x \right)<br />
  
    F_{1042}\! \left(x \right) = F_{1043}\! \left(x \right)<br />
  
    F_{1043}\! \left(x \right) = F_{1044}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1044}\! \left(x \right) = F_{1045}\! \left(x \right)+F_{1046}\! \left(x \right)<br />
  
    F_{1045}\! \left(x \right) = F_{2}\! \left(x \right) F_{368}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{1046}\! \left(x \right) = F_{1040}\! \left(x \right) F_{1047}\! \left(x \right)<br />
  
    F_{1047}\! \left(x \right) = F_{263}\! \left(x \right)+F_{368}\! \left(x \right)<br />
  
    F_{1048}\! \left(x \right) = F_{1049}\! \left(x \right)<br />
  
    F_{1049}\! \left(x \right) = F_{1050}\! \left(x \right)+F_{1051}\! \left(x \right)<br />
  
    F_{1050}\! \left(x \right) = F_{49}\! \left(x \right)+F_{888}\! \left(x \right)<br />
  
    F_{1051}\! \left(x \right) = F_{1052}\! \left(x \right)<br />
  
    F_{1052}\! \left(x \right) = F_{2} \left(x \right)^{2} F_{13}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{1053}\! \left(x \right) = F_{1054}\! \left(x \right)+F_{296}\! \left(x \right)<br />
  
    F_{1054}\! \left(x \right) = F_{1055}\! \left(x \right)<br />
  
    F_{1055}\! \left(x \right) = F_{1037}\! \left(x \right) F_{13}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1056}\! \left(x \right) = F_{1057}\! \left(x \right)<br />
  
    F_{1057}\! \left(x \right) = F_{1044}\! \left(x \right) F_{13}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1058}\! \left(x \right) = F_{1059}\! \left(x \right)+F_{1062}\! \left(x \right)<br />
  
    F_{1059}\! \left(x \right) = F_{1060}\! \left(x \right)+F_{942}\! \left(x \right)<br />
  
    F_{1060}\! \left(x \right) = F_{1061}\! \left(x \right)+F_{944}\! \left(x \right)<br />
  
    F_{1061}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1062}\! \left(x \right) = F_{1063}\! \left(x \right)+F_{947}\! \left(x \right)<br />
  
    F_{1063}\! \left(x \right) = F_{1064}\! \left(x \right)+F_{950}\! \left(x \right)<br />
  
    F_{1064}\! \left(x \right) = F_{292}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1065}\! \left(x \right) = F_{1066}\! \left(x \right)+F_{963}\! \left(x \right)<br />
  
    F_{1066}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1067}\! \left(x \right) = F_{488}\! \left(x \right)<br />
  
    F_{1068}\! \left(x \right) = F_{1069}\! \left(x \right)+F_{1070}\! \left(x \right)<br />
  
    F_{1069}\! \left(x \right) = F_{33}\! \left(x \right) F_{927}\! \left(x \right)<br />
  
    F_{1070}\! \left(x \right) = F_{1071}\! \left(x \right)+F_{1072}\! \left(x \right)<br />
  
    F_{1071}\! \left(x \right) = F_{42}\! \left(x \right) F_{832}\! \left(x \right)<br />
  
    F_{1072}\! \left(x \right) = F_{309}\! \left(x \right) F_{926}\! \left(x \right)<br />
  
    F_{1073}\! \left(x \right) = F_{37}\! \left(x \right) F_{873}\! \left(x \right)<br />
  
    F_{1074}\! \left(x \right) = F_{1075}\! \left(x \right)+F_{1076}\! \left(x \right)<br />
  
    F_{1075}\! \left(x \right) = F_{2}\! \left(x \right) F_{924}\! \left(x \right)<br />
  
    F_{1076}\! \left(x \right) = F_{1077}\! \left(x \right)+F_{1078}\! \left(x \right)<br />
  
    F_{1077}\! \left(x \right) = F_{6}\! \left(x \right) F_{832}\! \left(x \right)<br />
  
    F_{1078}\! \left(x \right) = F_{49}\! \left(x \right) F_{925}\! \left(x \right)<br />
  
    F_{1079}\! \left(x \right) = F_{931}\! \left(x \right)<br />
  
    F_{1080}\! \left(x \right) = F_{1081}\! \left(x \right)<br />
  
    F_{1081}\! \left(x \right) = F_{1082}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1082}\! \left(x \right) = F_{1083}\! \left(x \right)+F_{1094}\! \left(x \right)<br />
  
    F_{1083}\! \left(x \right) = F_{1084}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{1084}\! \left(x \right) = \frac{F_{1085}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{1085}\! \left(x \right) = -F_{1088}\! \left(x \right)+F_{1086}\! \left(x \right)<br />
  
    F_{1086}\! \left(x \right) = \frac{F_{1087}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1087}\! \left(x \right) = F_{908}\! \left(x \right)<br />
  
    F_{1088}\! \left(x \right) = F_{1089}\! \left(x \right)+F_{1090}\! \left(x \right)<br />
  
    F_{1089}\! \left(x \right) = F_{1084}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1090}\! \left(x \right) = F_{1091}\! \left(x \right)+F_{1092}\! \left(x \right)<br />
  
    F_{1091}\! \left(x \right) = F_{6}\! \left(x \right) F_{891}\! \left(x \right)<br />
  
    F_{1092}\! \left(x \right) = F_{1093}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1093}\! \left(x \right) = -F_{891}\! \left(x \right)+F_{1084}\! \left(x \right)<br />
  
    F_{1094}\! \left(x \right) = F_{1095}\! \left(x \right)+F_{1096}\! \left(x \right)<br />
  
    F_{1095}\! \left(x \right) = F_{1084}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{1096}\! \left(x \right) = F_{1097}\! \left(x \right)+F_{1098}\! \left(x \right)<br />
  
    F_{1097}\! \left(x \right) = F_{42}\! \left(x \right) F_{891}\! \left(x \right)<br />
  
    F_{1098}\! \left(x \right) = F_{1093}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{1099}\! \left(x \right) = F_{1100}\! \left(x \right)+F_{1102}\! \left(x \right)<br />
  
    F_{1100}\! \left(x \right) = F_{1101}\! \left(x \right)<br />
  
    F_{1101}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1102}\! \left(x \right) = F_{1103}\! \left(x \right)+F_{1128}\! \left(x \right)<br />
  
    F_{1103}\! \left(x \right) = F_{1104}\! \left(x \right)<br />
  
    F_{1104}\! \left(x \right) = F_{1105}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1105}\! \left(x \right) = F_{1106}\! \left(x \right)+F_{1117}\! \left(x \right)<br />
  
    F_{1106}\! \left(x \right) = F_{1107}\! \left(x \right)+F_{1112}\! \left(x \right)<br />
  
    F_{1107}\! \left(x \right) = F_{1108}\! \left(x \right)+F_{1111}\! \left(x \right)<br />
  
    F_{1108}\! \left(x \right) = F_{1109}\! \left(x \right)+F_{1110}\! \left(x \right)<br />
  
    F_{1109}\! \left(x \right) = F_{29}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1110}\! \left(x \right) = F_{13}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1111}\! \left(x \right) = F_{13}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1112}\! \left(x \right) = F_{1113}\! \left(x \right)+F_{1116}\! \left(x \right)<br />
  
    F_{1113}\! \left(x \right) = F_{1114}\! \left(x \right)+F_{1115}\! \left(x \right)<br />
  
    F_{1114}\! \left(x \right) = F_{30}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1115}\! \left(x \right) = F_{25}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1116}\! \left(x \right) = F_{25}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1117}\! \left(x \right) = F_{1118}\! \left(x \right)+F_{1123}\! \left(x \right)<br />
  
    F_{1118}\! \left(x \right) = F_{1119}\! \left(x \right)+F_{1122}\! \left(x \right)<br />
  
    F_{1119}\! \left(x \right) = F_{1120}\! \left(x \right)+F_{1121}\! \left(x \right)<br />
  
    F_{1120}\! \left(x \right) = F_{33}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1121}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1122}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1123}\! \left(x \right) = F_{1124}\! \left(x \right)+F_{1127}\! \left(x \right)<br />
  
    F_{1124}\! \left(x \right) = F_{1125}\! \left(x \right)+F_{1126}\! \left(x \right)<br />
  
    F_{1125}\! \left(x \right) = F_{42}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1126}\! \left(x \right) = F_{300}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1127}\! \left(x \right) = F_{300}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1128}\! \left(x \right) = F_{1129}\! \left(x \right)<br />
  
    F_{1129}\! \left(x \right) = F_{1130}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1130}\! \left(x \right) = F_{1131}\! \left(x \right)+F_{1133}\! \left(x \right)<br />
  
    F_{1131}\! \left(x \right) = F_{1132}\! \left(x \right)<br />
  
    F_{1132}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1133}\! \left(x \right) = F_{1134}\! \left(x \right)+F_{1167}\! \left(x \right)<br />
  
    F_{1134}\! \left(x \right) = F_{1135}\! \left(x \right)<br />
  
    F_{1135}\! \left(x \right) = F_{1136}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1136}\! \left(x \right) = F_{1137}\! \left(x \right)+F_{1152}\! \left(x \right)<br />
  
    F_{1137}\! \left(x \right) = F_{1138}\! \left(x \right)+F_{1145}\! \left(x \right)<br />
  
    F_{1138}\! \left(x \right) = F_{1139}\! \left(x \right)+F_{1143}\! \left(x \right)<br />
  
    F_{1139}\! \left(x \right) = F_{1140}\! \left(x \right)+F_{1141}\! \left(x \right)<br />
  
    F_{1140}\! \left(x \right) = F_{319}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1141}\! \left(x \right) = F_{1142}\! \left(x \right)<br />
  
    F_{1142}\! \left(x \right) = F_{525}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1143}\! \left(x \right) = F_{1144}\! \left(x \right)<br />
  
    F_{1144}\! \left(x \right) = F_{525}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1145}\! \left(x \right) = F_{1146}\! \left(x \right)+F_{1150}\! \left(x \right)<br />
  
    F_{1146}\! \left(x \right) = F_{1147}\! \left(x \right)+F_{1148}\! \left(x \right)<br />
  
    F_{1147}\! \left(x \right) = F_{330}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1148}\! \left(x \right) = F_{1149}\! \left(x \right)<br />
  
    F_{1149}\! \left(x \right) = F_{530}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1150}\! \left(x \right) = F_{1151}\! \left(x \right)<br />
  
    F_{1151}\! \left(x \right) = F_{530}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1152}\! \left(x \right) = F_{1153}\! \left(x \right)+F_{1160}\! \left(x \right)<br />
  
    F_{1153}\! \left(x \right) = F_{1154}\! \left(x \right)+F_{1158}\! \left(x \right)<br />
  
    F_{1154}\! \left(x \right) = F_{1155}\! \left(x \right)+F_{1156}\! \left(x \right)<br />
  
    F_{1155}\! \left(x \right) = F_{356}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1156}\! \left(x \right) = F_{1157}\! \left(x \right)<br />
  
    F_{1157}\! \left(x \right) = F_{537}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1158}\! \left(x \right) = F_{1159}\! \left(x \right)<br />
  
    F_{1159}\! \left(x \right) = F_{537}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1160}\! \left(x \right) = F_{1161}\! \left(x \right)+F_{1165}\! \left(x \right)<br />
  
    F_{1161}\! \left(x \right) = F_{1162}\! \left(x \right)+F_{1163}\! \left(x \right)<br />
  
    F_{1162}\! \left(x \right) = F_{388}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1163}\! \left(x \right) = F_{1164}\! \left(x \right)<br />
  
    F_{1164}\! \left(x \right) = F_{542}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1165}\! \left(x \right) = F_{1166}\! \left(x \right)<br />
  
    F_{1166}\! \left(x \right) = F_{542}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1167}\! \left(x \right) = -F_{1247}\! \left(x \right)+F_{1168}\! \left(x \right)<br />
  
    F_{1168}\! \left(x \right) = -F_{1178}\! \left(x \right)+F_{1169}\! \left(x \right)<br />
  
    F_{1169}\! \left(x \right) = -F_{1176}\! \left(x \right)+F_{1170}\! \left(x \right)<br />
  
    F_{1170}\! \left(x \right) = -F_{1173}\! \left(x \right)+F_{1171}\! \left(x \right)<br />
  
    F_{1171}\! \left(x \right) = \frac{F_{1172}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1172}\! \left(x \right) = F_{1134}\! \left(x \right)<br />
  
    F_{1173}\! \left(x \right) = F_{1174}\! \left(x \right)+F_{846}\! \left(x \right)<br />
  
    F_{1174}\! \left(x \right) = F_{1175}\! \left(x \right)<br />
  
    F_{1175}\! \left(x \right) = F_{11}\! \left(x \right) F_{24}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1176}\! \left(x \right) = F_{1177}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{1177}\! \left(x \right) = F_{1134}\! \left(x \right)+F_{847}\! \left(x \right)<br />
  
    F_{1178}\! \left(x \right) = F_{1179}\! \left(x \right)+F_{1191}\! \left(x \right)<br />
  
    F_{1179}\! \left(x \right) = F_{1180}\! \left(x \right)<br />
  
    F_{1180}\! \left(x \right) = F_{1181}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1181}\! \left(x \right) = F_{1182}\! \left(x \right)+F_{1242}\! \left(x \right)<br />
  
    F_{1182}\! \left(x \right) = F_{0}\! \left(x \right) F_{1183}\! \left(x \right)<br />
  
    F_{1183}\! \left(x \right) = F_{1184}\! \left(x \right)+F_{847}\! \left(x \right)<br />
  
    F_{1184}\! \left(x \right) = F_{1185}\! \left(x \right)+F_{1241}\! \left(x \right)<br />
  
    F_{1185}\! \left(x \right) = F_{1186}\! \left(x \right)+F_{1240}\! \left(x \right)<br />
  
    F_{1186}\! \left(x \right) = -F_{847}\! \left(x \right)+F_{1187}\! \left(x \right)<br />
  
    F_{1187}\! \left(x \right) = \frac{F_{1188}\! \left(x \right)}{F_{28}\! \left(x \right)}<br />
  
    F_{1188}\! \left(x \right) = -F_{1235}\! \left(x \right)+F_{1189}\! \left(x \right)<br />
  
    F_{1189}\! \left(x \right) = \frac{F_{1190}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1190}\! \left(x \right) = F_{1191}\! \left(x \right)<br />
  
    F_{1191}\! \left(x \right) = F_{1192}\! \left(x \right)<br />
  
    F_{1192}\! \left(x \right) = F_{1193}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1193}\! \left(x \right) = F_{1194}\! \left(x \right)+F_{1200}\! \left(x \right)<br />
  
    F_{1194}\! \left(x \right) = -F_{847}\! \left(x \right)+F_{1195}\! \left(x \right)<br />
  
    F_{1195}\! \left(x \right) = -F_{1198}\! \left(x \right)+F_{1196}\! \left(x \right)<br />
  
    F_{1196}\! \left(x \right) = \frac{F_{1197}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1197}\! \left(x \right) = F_{1103}\! \left(x \right)<br />
  
    F_{1198}\! \left(x \right) = F_{1199}\! \left(x \right)<br />
  
    F_{1199}\! \left(x \right) = F_{2}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1200}\! \left(x \right) = F_{1194}\! \left(x \right)+F_{1201}\! \left(x \right)<br />
  
    F_{1201}\! \left(x \right) = -F_{1194}\! \left(x \right)+F_{1202}\! \left(x \right)<br />
  
    F_{1202}\! \left(x \right) = -F_{1233}\! \left(x \right)+F_{1203}\! \left(x \right)<br />
  
    F_{1203}\! \left(x \right) = \frac{F_{1204}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1204}\! \left(x \right) = F_{1205}\! \left(x \right)<br />
  
    F_{1205}\! \left(x \right) = F_{1206}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1206}\! \left(x \right) = F_{1207}\! \left(x \right)+F_{1222}\! \left(x \right)<br />
  
    F_{1207}\! \left(x \right) = F_{1208}\! \left(x \right)+F_{1215}\! \left(x \right)<br />
  
    F_{1208}\! \left(x \right) = F_{1209}\! \left(x \right)+F_{1210}\! \left(x \right)<br />
  
    F_{1209}\! \left(x \right) = F_{13}\! \left(x \right) F_{29}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1210}\! \left(x \right) = F_{1211}\! \left(x \right)+F_{1214}\! \left(x \right)<br />
  
    F_{1211}\! \left(x \right) = F_{1212}\! \left(x \right)+F_{1213}\! \left(x \right)<br />
  
    F_{1212}\! \left(x \right) = F_{24}\! \left(x \right) F_{29}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1213}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1214}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1215}\! \left(x \right) = F_{1216}\! \left(x \right)+F_{1217}\! \left(x \right)<br />
  
    F_{1216}\! \left(x \right) = F_{13}\! \left(x \right) F_{6}\! \left(x \right) F_{948}\! \left(x \right)<br />
  
    F_{1217}\! \left(x \right) = F_{1218}\! \left(x \right)+F_{1221}\! \left(x \right)<br />
  
    F_{1218}\! \left(x \right) = F_{1219}\! \left(x \right)+F_{1220}\! \left(x \right)<br />
  
    F_{1219}\! \left(x \right) = F_{6}\! \left(x \right) F_{951}\! \left(x \right)<br />
  
    F_{1220}\! \left(x \right) = F_{292}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1221}\! \left(x \right) = F_{292}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1222}\! \left(x \right) = F_{1223}\! \left(x \right)+F_{1228}\! \left(x \right)<br />
  
    F_{1223}\! \left(x \right) = F_{1224}\! \left(x \right)+F_{1227}\! \left(x \right)<br />
  
    F_{1224}\! \left(x \right) = F_{1225}\! \left(x \right)+F_{1226}\! \left(x \right)<br />
  
    F_{1225}\! \left(x \right) = F_{6}\! \left(x \right) F_{964}\! \left(x \right)<br />
  
    F_{1226}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1227}\! \left(x \right) = F_{13}\! \left(x \right) F_{49}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1228}\! \left(x \right) = F_{1229}\! \left(x \right)+F_{1232}\! \left(x \right)<br />
  
    F_{1229}\! \left(x \right) = F_{1230}\! \left(x \right)+F_{1231}\! \left(x \right)<br />
  
    F_{1230}\! \left(x \right) = F_{6}\! \left(x \right) F_{969}\! \left(x \right)<br />
  
    F_{1231}\! \left(x \right) = F_{853}\! \left(x \right) F_{978}\! \left(x \right)<br />
  
    F_{1232}\! \left(x \right) = F_{854}\! \left(x \right) F_{978}\! \left(x \right)<br />
  
    F_{1233}\! \left(x \right) = F_{1234}\! \left(x \right)<br />
  
    F_{1234}\! \left(x \right) = F_{49}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1235}\! \left(x \right) = F_{1236}\! \left(x \right)+F_{1237}\! \left(x \right)<br />
  
    F_{1236}\! \left(x \right) = F_{1187}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{1237}\! \left(x \right) = F_{1238}\! \left(x \right)+F_{1239}\! \left(x \right)<br />
  
    F_{1238}\! \left(x \right) = F_{42}\! \left(x \right) F_{847}\! \left(x \right)<br />
  
    F_{1239}\! \left(x \right) = F_{1186}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{1240}\! \left(x \right) = F_{37}\! \left(x \right) F_{853}\! \left(x \right)<br />
  
    F_{1241}\! \left(x \right) = F_{37}\! \left(x \right) F_{854}\! \left(x \right)<br />
  
    F_{1242}\! \left(x \right) = F_{1243}\! \left(x \right)+F_{1244}\! \left(x \right)<br />
  
    F_{1243}\! \left(x \right) = F_{1183}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1244}\! \left(x \right) = F_{1245}\! \left(x \right)+F_{1246}\! \left(x \right)<br />
  
    F_{1245}\! \left(x \right) = F_{6}\! \left(x \right) F_{847}\! \left(x \right)<br />
  
    F_{1246}\! \left(x \right) = F_{1184}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1247}\! \left(x \right) = F_{1248}\! \left(x \right)<br />
  
    F_{1248}\! \left(x \right) = F_{1249}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1249}\! \left(x \right) = F_{1250}\! \left(x \right)+F_{1261}\! \left(x \right)<br />
  
    F_{1250}\! \left(x \right) = F_{1251}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{1251}\! \left(x \right) = \frac{F_{1252}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{1252}\! \left(x \right) = -F_{1255}\! \left(x \right)+F_{1253}\! \left(x \right)<br />
  
    F_{1253}\! \left(x \right) = \frac{F_{1254}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1254}\! \left(x \right) = F_{1167}\! \left(x \right)<br />
  
    F_{1255}\! \left(x \right) = F_{1256}\! \left(x \right)+F_{1257}\! \left(x \right)<br />
  
    F_{1256}\! \left(x \right) = F_{1251}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1257}\! \left(x \right) = F_{1258}\! \left(x \right)+F_{1259}\! \left(x \right)<br />
  
    F_{1258}\! \left(x \right) = F_{1134}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1259}\! \left(x \right) = F_{1260}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1260}\! \left(x \right) = -F_{1134}\! \left(x \right)+F_{1251}\! \left(x \right)<br />
  
    F_{1261}\! \left(x \right) = F_{1262}\! \left(x \right)+F_{1263}\! \left(x \right)<br />
  
    F_{1262}\! \left(x \right) = F_{1251}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{1263}\! \left(x \right) = F_{1264}\! \left(x \right)+F_{1265}\! \left(x \right)<br />
  
    F_{1264}\! \left(x \right) = F_{1134}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{1265}\! \left(x \right) = F_{1260}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{1266}\! \left(x \right) = F_{1267}\! \left(x \right)+F_{825}\! \left(x \right)<br />
  
    F_{1267}\! \left(x \right) = F_{1268}\! \left(x \right)+F_{1284}\! \left(x \right)<br />
  
    F_{1268}\! \left(x \right) = F_{1269}\! \left(x \right)<br />
  
    F_{1269}\! \left(x \right) = F_{1270}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1270}\! \left(x \right) = F_{1271}\! \left(x \right)+F_{1278}\! \left(x \right)<br />
  
    F_{1271}\! \left(x \right) = F_{1272}\! \left(x \right)+F_{1275}\! \left(x \right)<br />
  
    F_{1272}\! \left(x \right) = F_{1273}\! \left(x \right)+F_{1274}\! \left(x \right)<br />
  
    F_{1273}\! \left(x \right) = F_{2}\! \left(x \right) F_{29}\! \left(x \right)<br />
  
    F_{1274}\! \left(x \right) = F_{13}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1275}\! \left(x \right) = F_{1276}\! \left(x \right)+F_{1277}\! \left(x \right)<br />
  
    F_{1276}\! \left(x \right) = F_{2}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{1277}\! \left(x \right) = F_{25}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1278}\! \left(x \right) = F_{1279}\! \left(x \right)+F_{1282}\! \left(x \right)<br />
  
    F_{1279}\! \left(x \right) = F_{1280}\! \left(x \right)+F_{1281}\! \left(x \right)<br />
  
    F_{1280}\! \left(x \right) = F_{2}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{1281}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1282}\! \left(x \right) = F_{1283}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{1283}\! \left(x \right) = F_{300}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1284}\! \left(x \right) = F_{1285}\! \left(x \right)<br />
  
    F_{1285}\! \left(x \right) = F_{1286}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1286}\! \left(x \right) = F_{1287}\! \left(x \right)+F_{888}\! \left(x \right)<br />
  
    F_{1287}\! \left(x \right) = F_{1288}\! \left(x \right)+F_{517}\! \left(x \right)<br />
  
    F_{1288}\! \left(x \right) = -F_{1297}\! \left(x \right)+F_{1289}\! \left(x \right)<br />
  
    F_{1289}\! \left(x \right) = -F_{1296}\! \left(x \right)+F_{1290}\! \left(x \right)<br />
  
    F_{1290}\! \left(x \right) = -F_{1295}\! \left(x \right)+F_{1291}\! \left(x \right)<br />
  
    F_{1291}\! \left(x \right) = -F_{1294}\! \left(x \right)+F_{1292}\! \left(x \right)<br />
  
    F_{1292}\! \left(x \right) = \frac{F_{1293}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1293}\! \left(x \right) = F_{517}\! \left(x \right)<br />
  
    F_{1294}\! \left(x \right) = F_{837}\! \left(x \right)+F_{915}\! \left(x \right)<br />
  
    F_{1295}\! \left(x \right) = F_{60}\! \left(x \right) F_{700}\! \left(x \right)<br />
  
    F_{1296}\! \left(x \right) = F_{1018}\! \left(x \right)+F_{296}\! \left(x \right)<br />
  
    F_{1297}\! \left(x \right) = F_{1298}\! \left(x \right)<br />
  
    F_{1298}\! \left(x \right) = F_{1299}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{1299}\! \left(x \right) = F_{1300}\! \left(x \right)+F_{1311}\! \left(x \right)<br />
  
    F_{1300}\! \left(x \right) = F_{1301}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{1301}\! \left(x \right) = \frac{F_{1302}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{1302}\! \left(x \right) = -F_{1305}\! \left(x \right)+F_{1303}\! \left(x \right)<br />
  
    F_{1303}\! \left(x \right) = \frac{F_{1304}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1304}\! \left(x \right) = F_{1288}\! \left(x \right)<br />
  
    F_{1305}\! \left(x \right) = F_{1306}\! \left(x \right)+F_{1307}\! \left(x \right)<br />
  
    F_{1306}\! \left(x \right) = F_{1301}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1307}\! \left(x \right) = F_{1308}\! \left(x \right)+F_{1309}\! \left(x \right)<br />
  
    F_{1308}\! \left(x \right) = F_{517}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1309}\! \left(x \right) = F_{1310}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1310}\! \left(x \right) = -F_{517}\! \left(x \right)+F_{1301}\! \left(x \right)<br />
  
    F_{1311}\! \left(x \right) = F_{1312}\! \left(x \right)+F_{1313}\! \left(x \right)<br />
  
    F_{1312}\! \left(x \right) = F_{1301}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{1313}\! \left(x \right) = F_{1314}\! \left(x \right)+F_{1315}\! \left(x \right)<br />
  
    F_{1314}\! \left(x \right) = F_{42}\! \left(x \right) F_{517}\! \left(x \right)<br />
  
    F_{1315}\! \left(x \right) = F_{1310}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{1316}\! \left(x \right) = F_{1317}\! \left(x \right)<br />
  
    F_{1317}\! \left(x \right) = F_{13}\! \left(x \right) F_{1318}\! \left(x \right)<br />
  
    F_{1318}\! \left(x \right) = F_{1319}\! \left(x \right)+F_{1330}\! \left(x \right)<br />
  
    F_{1319}\! \left(x \right) = F_{1320}\! \left(x \right) F_{28}\! \left(x \right)<br />
  
    F_{1320}\! \left(x \right) = \frac{F_{1321}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{1321}\! \left(x \right) = -F_{1324}\! \left(x \right)+F_{1322}\! \left(x \right)<br />
  
    F_{1322}\! \left(x \right) = \frac{F_{1323}\! \left(x \right)}{F_{13}\! \left(x \right)}<br />
  
    F_{1323}\! \left(x \right) = F_{793}\! \left(x \right)<br />
  
    F_{1324}\! \left(x \right) = F_{1325}\! \left(x \right)+F_{1326}\! \left(x \right)<br />
  
    F_{1325}\! \left(x \right) = F_{1320}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1326}\! \left(x \right) = F_{1327}\! \left(x \right)+F_{1328}\! \left(x \right)<br />
  
    F_{1327}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{1328}\! \left(x \right) = F_{1329}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{1329}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{1320}\! \left(x \right)<br />
  
    F_{1330}\! \left(x \right) = F_{1331}\! \left(x \right)+F_{1332}\! \left(x \right)<br />
  
    F_{1331}\! \left(x \right) = F_{1320}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{1332}\! \left(x \right) = F_{1333}\! \left(x \right)+F_{1334}\! \left(x \right)<br />
  
    F_{1333}\! \left(x \right) = F_{20}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{1334}\! \left(x \right) = F_{1329}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{1335}\! \left(x \right) = F_{342}\! \left(x \right)+F_{700}\! \left(x \right)<br />
  
    F_{1336}\! \left(x \right) = F_{1337}\! \left(x \right)+F_{1338}\! \left(x \right)<br />
  
    F_{1337}\! \left(x \right) = F_{342}\! \left(x \right)+F_{918}\! \left(x \right)<br />
  
    F_{1338}\! \left(x \right) = F_{1177}\! \left(x \right)+F_{1339}\! \left(x \right)<br />
  
    F_{1339}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \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_13(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_13(x)*F_8(x))<br />
  
    Eq(F_8(x), F_1336(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x) + F_1335(x))<br />
  
    Eq(F_10(x), F_11(x) + F_19(x))<br />
  
    Eq(F_11(x), F_12(x))<br />
  
    Eq(F_12(x), F_13(x)*F_14(x))<br />
  
    Eq(F_13(x), x)<br />
  
    Eq(F_14(x), F_15(x) + F_16(x))<br />
  
    Eq(F_15(x), F_1(x) + F_11(x))<br />
  
    Eq(F_16(x), F_13(x) + F_17(x))<br />
  
    Eq(F_17(x), F_18(x))<br />
  
    Eq(F_18(x), F_11(x)*F_13(x))<br />
  
    Eq(F_19(x), F_2(x) + F_20(x))<br />
  
    Eq(F_20(x), F_21(x))<br />
  
    Eq(F_21(x), F_13(x)*F_22(x))<br />
  
    Eq(F_22(x), F_23(x) + F_788(x))<br />
  
    Eq(F_23(x), F_15(x)*F_24(x))<br />
  
    Eq(F_24(x), F_2(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x))<br />
  
    Eq(F_26(x), F_13(x)*F_27(x))<br />
  
    Eq(F_27(x), F_28(x) + F_32(x))<br />
  
    Eq(F_28(x), F_29(x) + F_30(x))<br />
  
    Eq(F_29(x), 2*F_13(x))<br />
  
    Eq(F_30(x), F_25(x) + F_31(x))<br />
  
    Eq(F_31(x), F_13(x)*F_2(x))<br />
  
    Eq(F_32(x), F_33(x) + F_42(x))<br />
  
    Eq(F_33(x), F_34(x) + F_41(x))<br />
  
    Eq(F_34(x), F_35(x))<br />
  
    Eq(F_35(x), F_13(x)*F_36(x))<br />
  
    Eq(F_36(x), F_37(x) + F_40(x))<br />
  
    Eq(F_37(x), F_38(x))<br />
  
    Eq(F_38(x), F_13(x)*F_39(x))<br />
  
    Eq(F_39(x), F_1(x) + F_37(x))<br />
  
    Eq(F_40(x), F_2(x)*F_39(x))<br />
  
    Eq(F_41(x), F_13(x)*F_2(x))<br />
  
    Eq(F_42(x), F_43(x) + F_773(x))<br />
  
    Eq(F_43(x), F_44(x))<br />
  
    Eq(F_44(x), F_13(x)*F_45(x))<br />
  
    Eq(F_45(x), F_46(x) + F_47(x))<br />
  
    Eq(F_46(x), F_2(x)*F_37(x))<br />
  
    Eq(F_47(x), F_48(x) + F_6(x))<br />
  
    Eq(F_48(x), F_37(x)*F_49(x))<br />
  
    Eq(F_49(x), F_50(x))<br />
  
    Eq(F_50(x), F_13(x)*F_51(x))<br />
  
    Eq(F_51(x), F_52(x) + F_768(x))<br />
  
    Eq(F_52(x), F_0(x)*F_53(x))<br />
  
    Eq(F_53(x), F_2(x) + F_54(x))<br />
  
    Eq(F_54(x), F_37(x) + F_55(x))<br />
  
    Eq(F_55(x), F_56(x))<br />
  
    Eq(F_56(x), F_13(x)*F_57(x))<br />
  
    Eq(F_57(x), F_58(x) + F_61(x))<br />
  
    Eq(F_58(x), F_59(x))<br />
  
    Eq(F_59(x), F_15(x)*F_37(x)*F_60(x))<br />
  
    Eq(F_60(x), F_1(x) + F_13(x))<br />
  
    Eq(F_61(x), F_62(x) + F_767(x))<br />
  
    Eq(F_62(x), F_63(x) - F_766(x))<br />
  
    Eq(F_63(x), F_64(x) - F_764(x))<br />
  
    Eq(F_64(x), F_65(x)/F_13(x))<br />
  
    Eq(F_65(x), F_66(x))<br />
  
    Eq(F_66(x), F_67(x))<br />
  
    Eq(F_67(x), F_13(x)*F_68(x))<br />
  
    Eq(F_68(x), F_69(x) + F_762(x))<br />
  
    Eq(F_69(x), F_70(x) + F_97(x))<br />
  
    Eq(F_70(x), F_2(x) + F_71(x))<br />
  
    Eq(F_71(x), F_72(x))<br />
  
    Eq(F_72(x), F_13(x)*F_73(x))<br />
  
    Eq(F_73(x), F_2(x) + F_74(x))<br />
  
    Eq(F_74(x), F_75(x) + F_88(x))<br />
  
    Eq(F_75(x), F_76(x) + F_87(x))<br />
  
    Eq(F_76(x), F_37(x) + F_77(x))<br />
  
    Eq(F_77(x), F_78(x))<br />
  
    Eq(F_78(x), F_13(x)*F_79(x))<br />
  
    Eq(F_79(x), F_80(x) + F_81(x))<br />
  
    Eq(F_80(x), F_2(x)*F_39(x))<br />
  
    Eq(F_81(x), F_0(x)*F_82(x))<br />
  
    Eq(F_82(x), F_13(x) + F_83(x))<br />
  
    Eq(F_83(x), F_84(x) + F_85(x) + F_86(x))<br />
  
    Eq(F_84(x), 0)<br />
  
    Eq(F_85(x), F_13(x)*F_82(x))<br />
  
    Eq(F_86(x), F_13(x)*F_37(x))<br />
  
    Eq(F_87(x), F_88(x) + F_89(x))<br />
  
    Eq(F_88(x), F_2(x)*F_37(x))<br />
  
    Eq(F_89(x), F_90(x))<br />
  
    Eq(F_90(x), F_13(x)*F_91(x))<br />
  
    Eq(F_91(x), F_92(x) + F_94(x))<br />
  
    Eq(F_92(x), F_6(x) + F_93(x))<br />
  
    Eq(F_93(x), F_13(x)*F_5(x))<br />
  
    Eq(F_94(x), F_95(x) + F_96(x))<br />
  
    Eq(F_95(x), F_37(x)*F_6(x))<br />
  
    Eq(F_96(x), F_5(x)*F_83(x))<br />
  
    Eq(F_97(x), F_66(x) + F_98(x))<br />
  
    Eq(F_98(x), F_99(x))<br />
  
    Eq(F_99(x), F_100(x)*F_13(x))<br />
  
    Eq(F_100(x), F_101(x) + F_106(x))<br />
  
    Eq(F_101(x), F_102(x))<br />
  
    Eq(F_102(x), F_103(x)*F_15(x)*F_60(x))<br />
  
    Eq(F_103(x), F_104(x) + F_88(x))<br />
  
    Eq(F_104(x), F_105(x)*F_13(x))<br />
  
    Eq(F_105(x), F_2(x) + F_88(x))<br />
  
    Eq(F_106(x), F_107(x) + F_746(x))<br />
  
    Eq(F_107(x), F_108(x) - F_713(x))<br />
  
    Eq(F_108(x), F_109(x) - F_711(x))<br />
  
    Eq(F_109(x), F_110(x)/F_13(x))<br />
  
    Eq(F_110(x), F_111(x))<br />
  
    Eq(F_111(x), F_112(x) - F_66(x))<br />
  
    Eq(F_112(x), F_113(x) - F_710(x))<br />
  
    Eq(F_113(x), F_114(x) - F_122(x))<br />
  
    Eq(F_114(x), F_115(x) - F_121(x))<br />
  
    Eq(F_115(x), F_116(x)/F_13(x))<br />
  
    Eq(F_116(x), F_117(x))<br />
  
    Eq(F_117(x), F_118(x) - F_2(x))<br />
  
    Eq(F_118(x), -F_0(x) + F_119(x))<br />
  
    Eq(F_119(x), F_120(x)/F_13(x))<br />
  
    Eq(F_120(x), F_2(x))<br />
  
    Eq(F_121(x), F_119(x)*F_2(x))<br />
  
    Eq(F_122(x), F_123(x) + F_705(x))<br />
  
    Eq(F_123(x), F_124(x) + F_6(x))<br />
  
    Eq(F_124(x), F_125(x))<br />
  
    Eq(F_125(x), F_126(x)*F_13(x))<br />
  
    Eq(F_126(x), F_127(x) + F_410(x))<br />
  
    Eq(F_127(x), F_128(x) + F_182(x))<br />
  
    Eq(F_128(x), F_129(x)*F_2(x))<br />
  
    Eq(F_129(x), F_11(x) + F_130(x))<br />
  
    Eq(F_130(x), F_131(x) + F_160(x) + F_84(x))<br />
  
    Eq(F_131(x), F_13(x)*F_132(x))<br />
  
    Eq(F_132(x), F_129(x) + F_133(x))<br />
  
    Eq(F_133(x), F_134(x) + F_141(x))<br />
  
    Eq(F_134(x), F_135(x))<br />
  
    Eq(F_135(x), F_13(x)*F_136(x))<br />
  
    Eq(F_136(x), F_137(x) + F_138(x))<br />
  
    Eq(F_137(x), F_11(x) + F_134(x))<br />
  
    Eq(F_138(x), F_139(x) + F_17(x))<br />
  
    Eq(F_139(x), F_140(x))<br />
  
    Eq(F_140(x), F_13(x)*F_134(x))<br />
  
    Eq(F_141(x), F_142(x) + F_148(x) + 2*F_84(x))<br />
  
    Eq(F_142(x), F_13(x)*F_143(x))<br />
  
    Eq(F_143(x), F_144(x) + F_145(x))<br />
  
    Eq(F_144(x), F_130(x) + F_141(x))<br />
  
    Eq(F_145(x), F_146(x) + F_158(x))<br />
  
    Eq(F_146(x), F_147(x) + F_148(x) + 2*F_84(x))<br />
  
    Eq(F_147(x), F_13(x)*F_130(x))<br />
  
    Eq(F_148(x), F_13(x)*F_149(x))<br />
  
    Eq(F_149(x), F_150(x) + F_151(x))<br />
  
    Eq(F_150(x), F_146(x) + F_17(x))<br />
  
    Eq(F_151(x), F_152(x) + F_155(x))<br />
  
    Eq(F_152(x), F_153(x))<br />
  
    Eq(F_153(x), F_13(x)*F_154(x))<br />
  
    Eq(F_154(x), F_17(x))<br />
  
    Eq(F_155(x), F_156(x))<br />
  
    Eq(F_156(x), F_13(x)*F_157(x))<br />
  
    Eq(F_157(x), F_146(x))<br />
  
    Eq(F_158(x), F_159(x))<br />
  
    Eq(F_159(x), F_13(x)*F_141(x))<br />
  
    Eq(F_160(x), F_13(x)*F_161(x))<br />
  
    Eq(F_161(x), F_162(x) + F_163(x))<br />
  
    Eq(F_162(x), F_11(x) + F_134(x))<br />
  
    Eq(F_163(x), F_164(x) + F_173(x))<br />
  
    Eq(F_164(x), F_165(x))<br />
  
    Eq(F_165(x), F_13(x)*F_166(x))<br />
  
    Eq(F_166(x), F_167(x) + F_168(x))<br />
  
    Eq(F_167(x), F_13(x) + F_164(x))<br />
  
    Eq(F_168(x), F_169(x) + F_171(x))<br />
  
    Eq(F_169(x), F_170(x))<br />
  
    Eq(F_170(x), x**2)<br />
  
    Eq(F_171(x), F_172(x))<br />
  
    Eq(F_172(x), F_13(x)*F_164(x))<br />
  
    Eq(F_173(x), F_174(x))<br />
  
    Eq(F_174(x), F_13(x)*F_175(x))<br />
  
    Eq(F_175(x), F_176(x) + F_177(x))<br />
  
    Eq(F_176(x), F_17(x) + F_173(x))<br />
  
    Eq(F_177(x), F_178(x) + F_180(x))<br />
  
    Eq(F_178(x), F_179(x))<br />
  
    Eq(F_179(x), F_13(x)*F_17(x))<br />
  
    Eq(F_180(x), F_181(x))<br />
  
    Eq(F_181(x), F_13(x)*F_173(x))<br />
  
    Eq(F_182(x), F_183(x) + F_188(x))<br />
  
    Eq(F_183(x), F_184(x) + F_187(x))<br />
  
    Eq(F_184(x), F_185(x)*F_2(x))<br />
  
    Eq(F_185(x), F_186(x) + F_2(x))<br />
  
    Eq(F_186(x), F_0(x)*F_13(x))<br />
  
    Eq(F_187(x), F_2(x)*F_20(x))<br />
  
    Eq(F_188(x), F_189(x) + F_267(x))<br />
  
    Eq(F_189(x), F_190(x)*F_2(x))<br />
  
    Eq(F_190(x), F_191(x) + F_216(x))<br />
  
    Eq(F_191(x), F_192(x)*F_2(x))<br />
  
    Eq(F_192(x), F_193(x))<br />
  
    Eq(F_193(x), F_13(x)*F_194(x))<br />
  
    Eq(F_194(x), F_195(x) + F_196(x))<br />
  
    Eq(F_195(x), F_1(x) + F_192(x))<br />
  
    Eq(F_196(x), F_11(x) + F_197(x))<br />
  
    Eq(F_197(x), F_198(x) + F_204(x) + F_84(x))<br />
  
    Eq(F_198(x), F_13(x)*F_199(x))<br />
  
    Eq(F_199(x), F_200(x) + F_201(x))<br />
  
    Eq(F_200(x), F_192(x) + F_197(x))<br />
  
    Eq(F_201(x), F_202(x) + F_214(x))<br />
  
    Eq(F_202(x), F_203(x) + F_204(x) + F_84(x))<br />
  
    Eq(F_203(x), F_13(x)*F_192(x))<br />
  
    Eq(F_204(x), F_13(x)*F_205(x))<br />
  
    Eq(F_205(x), F_206(x) + F_207(x))<br />
  
    Eq(F_206(x), F_13(x) + F_202(x))<br />
  
    Eq(F_207(x), F_208(x) + F_211(x))<br />
  
    Eq(F_208(x), F_209(x))<br />
  
    Eq(F_209(x), F_13(x)*F_210(x))<br />
  
    Eq(F_210(x), F_13(x))<br />
  
    Eq(F_211(x), F_212(x))<br />
  
    Eq(F_212(x), F_13(x)*F_213(x))<br />
  
    Eq(F_213(x), F_202(x))<br />
  
    Eq(F_214(x), F_215(x))<br />
  
    Eq(F_215(x), F_13(x)*F_197(x))<br />
  
    Eq(F_216(x), F_0(x)*F_217(x))<br />
  
    Eq(F_217(x), F_218(x) + F_266(x) + F_84(x))<br />
  
    Eq(F_218(x), F_13(x)*F_219(x))<br />
  
    Eq(F_219(x), F_220(x) + F_221(x))<br />
  
    Eq(F_220(x), F_13(x) + F_217(x))<br />
  
    Eq(F_221(x), F_222(x) + F_232(x))<br />
  
    Eq(F_222(x), F_223(x) + F_229(x) + F_84(x))<br />
  
    Eq(F_223(x), F_13(x)*F_224(x))<br />
  
    Eq(F_224(x), F_225(x) + F_227(x))<br />
  
    Eq(F_225(x), F_13(x) + F_226(x))<br />
  
    Eq(F_226(x), F_164(x))<br />
  
    Eq(F_227(x), F_228(x) + F_230(x))<br />
  
    Eq(F_228(x), F_170(x) + F_229(x) + F_84(x))<br />
  
    Eq(F_229(x), x**2)<br />
  
    Eq(F_230(x), F_231(x))<br />
  
    Eq(F_231(x), F_13(x)*F_226(x))<br />
  
    Eq(F_232(x), F_233(x) + F_246(x) + F_259(x) + F_84(x))<br />
  
    Eq(F_233(x), F_13(x)*F_234(x))<br />
  
    Eq(F_234(x), F_235(x) + F_244(x))<br />
  
    Eq(F_235(x), F_217(x) + F_236(x))<br />
  
    Eq(F_236(x), F_237(x))<br />
  
    Eq(F_237(x), F_13(x)*F_238(x))<br />
  
    Eq(F_238(x), F_235(x) + F_239(x))<br />
  
    Eq(F_239(x), F_240(x) + F_242(x))<br />
  
    Eq(F_240(x), F_241(x))<br />
  
    Eq(F_241(x), F_13(x)*F_217(x))<br />
  
    Eq(F_242(x), F_243(x))<br />
  
    Eq(F_243(x), F_13(x)*F_236(x))<br />
  
    Eq(F_244(x), F_245(x) + F_265(x))<br />
  
    Eq(F_245(x), F_241(x) + F_246(x) + F_259(x) + F_84(x))<br />
  
    Eq(F_246(x), F_13(x)*F_247(x))<br />
  
    Eq(F_247(x), F_248(x) + F_249(x))<br />
  
    Eq(F_248(x), F_228(x) + F_245(x))<br />
  
    Eq(F_249(x), F_250(x) + F_254(x))<br />
  
    Eq(F_250(x), F_231(x) + F_251(x) + F_253(x) + F_84(x))<br />
  
    Eq(F_251(x), F_13(x)*F_252(x))<br />
  
    Eq(F_252(x), F_227(x))<br />
  
    Eq(F_253(x), 0)<br />
  
    Eq(F_254(x), F_243(x) + F_255(x) + F_257(x) + F_258(x) + F_84(x))<br />
  
    Eq(F_255(x), F_13(x)*F_256(x))<br />
  
    Eq(F_256(x), F_244(x))<br />
  
    Eq(F_257(x), 0)<br />
  
    Eq(F_258(x), 0)<br />
  
    Eq(F_259(x), F_13(x)*F_260(x))<br />
  
    Eq(F_260(x), F_18(x) + F_261(x) + F_84(x))<br />
  
    Eq(F_261(x), F_13(x)*F_262(x))<br />
  
    Eq(F_262(x), F_263(x))<br />
  
    Eq(F_263(x), F_13(x) + F_264(x))<br />
  
    Eq(F_264(x), F_18(x))<br />
  
    Eq(F_265(x), F_243(x))<br />
  
    Eq(F_266(x), F_11(x)*F_13(x))<br />
  
    Eq(F_267(x), F_2(x)*F_268(x))<br />
  
    Eq(F_268(x), F_269(x))<br />
  
    Eq(F_269(x), F_13(x)*F_270(x))<br />
  
    Eq(F_270(x), F_271(x) + F_274(x))<br />
  
    Eq(F_271(x), F_19(x)*F_272(x)*F_60(x))<br />
  
    Eq(F_272(x), F_11(x) + F_273(x))<br />
  
    Eq(F_273(x), F_15(x)*F_192(x))<br />
  
    Eq(F_274(x), F_275(x) + F_281(x))<br />
  
    Eq(F_275(x), F_15(x)*F_276(x))<br />
  
    Eq(F_276(x), F_277(x) + F_279(x))<br />
  
    Eq(F_277(x), F_11(x)*F_278(x))<br />
  
    Eq(F_278(x), F_2(x) + F_34(x))<br />
  
    Eq(F_279(x), F_192(x)*F_280(x))<br />
  
    Eq(F_280(x), F_24(x) + F_277(x))<br />
  
    Eq(F_281(x), F_282(x) + F_408(x))<br />
  
    Eq(F_282(x), F_11(x)*F_283(x))<br />
  
    Eq(F_283(x), F_284(x) + F_402(x))<br />
  
    Eq(F_284(x), F_285(x) - F_291(x))<br />
  
    Eq(F_285(x), F_286(x) - F_290(x))<br />
  
    Eq(F_286(x), F_287(x) - F_289(x))<br />
  
    Eq(F_287(x), F_288(x)/F_13(x))<br />
  
    Eq(F_288(x), F_20(x))<br />
  
    Eq(F_289(x), F_19(x)*F_60(x))<br />
  
    Eq(F_290(x), F_15(x)*F_24(x))<br />
  
    Eq(F_291(x), F_292(x) + F_314(x))<br />
  
    Eq(F_292(x), F_293(x))<br />
  
    Eq(F_293(x), F_13(x)*F_294(x))<br />
  
    Eq(F_294(x), F_295(x) + F_49(x))<br />
  
    Eq(F_295(x), F_296(x) + F_49(x))<br />
  
    Eq(F_296(x), F_297(x) - F_49(x))<br />
  
    Eq(F_297(x), F_298(x) - F_49(x))<br />
  
    Eq(F_298(x), F_299(x)/F_13(x))<br />
  
    Eq(F_299(x), F_300(x))<br />
  
    Eq(F_300(x), F_301(x))<br />
  
    Eq(F_301(x), F_13(x)*F_302(x))<br />
  
    Eq(F_302(x), F_303(x) + F_304(x))<br />
  
    Eq(F_303(x), F_28(x)*F_53(x))<br />
  
    Eq(F_304(x), F_305(x) + F_306(x))<br />
  
    Eq(F_305(x), F_33(x)*F_53(x))<br />
  
    Eq(F_306(x), F_307(x) + F_308(x))<br />
  
    Eq(F_307(x), F_2(x)*F_42(x))<br />
  
    Eq(F_308(x), F_309(x)*F_54(x))<br />
  
    Eq(F_309(x), F_300(x) + F_310(x))<br />
  
    Eq(F_310(x), F_311(x))<br />
  
    Eq(F_311(x), F_13(x)*F_312(x))<br />
  
    Eq(F_312(x), F_313(x) + F_46(x))<br />
  
    Eq(F_313(x), F_39(x)*F_49(x))<br />
  
    Eq(F_314(x), F_315(x))<br />
  
    Eq(F_315(x), F_13(x)*F_316(x))<br />
  
    Eq(F_316(x), F_317(x) + F_354(x))<br />
  
    Eq(F_317(x), F_318(x)*F_344(x))<br />
  
    Eq(F_318(x), F_319(x) + F_330(x))<br />
  
    Eq(F_319(x), F_11(x) + F_320(x))<br />
  
    Eq(F_320(x), F_11(x) + F_321(x))<br />
  
    Eq(F_321(x), F_322(x) + F_328(x) + F_84(x))<br />
  
    Eq(F_322(x), F_13(x)*F_323(x))<br />
  
    Eq(F_323(x), F_324(x) + F_325(x))<br />
  
    Eq(F_324(x), F_11(x) + F_321(x))<br />
  
    Eq(F_325(x), F_17(x) + F_326(x))<br />
  
    Eq(F_326(x), F_327(x))<br />
  
    Eq(F_327(x), F_13(x)*F_321(x))<br />
  
    Eq(F_328(x), F_13(x)*F_329(x))<br />
  
    Eq(F_329(x), F_16(x))<br />
  
    Eq(F_330(x), F_20(x) + F_331(x))<br />
  
    Eq(F_331(x), F_332(x) + F_333(x))<br />
  
    Eq(F_332(x), F_11(x)*F_2(x))<br />
  
    Eq(F_333(x), F_334(x))<br />
  
    Eq(F_334(x), F_13(x)*F_15(x)*F_335(x))<br />
  
    Eq(F_335(x), F_336(x) + F_337(x))<br />
  
    Eq(F_336(x), F_20(x)*F_60(x))<br />
  
    Eq(F_337(x), F_25(x) + F_338(x))<br />
  
    Eq(F_338(x), F_339(x))<br />
  
    Eq(F_339(x), F_13(x)*F_340(x))<br />
  
    Eq(F_340(x), F_20(x) + F_341(x))<br />
  
    Eq(F_341(x), F_342(x) + F_343(x))<br />
  
    Eq(F_342(x), F_11(x)*F_2(x))<br />
  
    Eq(F_343(x), F_284(x) - F_49(x))<br />
  
    Eq(F_344(x), F_345(x)/F_0(x))<br />
  
    Eq(F_345(x), F_346(x) - F_348(x))<br />
  
    Eq(F_346(x), F_347(x)/F_13(x))<br />
  
    Eq(F_347(x), F_292(x))<br />
  
    Eq(F_348(x), F_349(x) + F_350(x))<br />
  
    Eq(F_349(x), F_2(x)*F_344(x))<br />
  
    Eq(F_350(x), F_351(x) + F_352(x))<br />
  
    Eq(F_351(x), F_25(x)*F_6(x))<br />
  
    Eq(F_352(x), F_353(x)*F_49(x))<br />
  
    Eq(F_353(x), -F_25(x) + F_344(x))<br />
  
    Eq(F_354(x), F_355(x) + F_386(x))<br />
  
    Eq(F_355(x), F_344(x)*F_356(x))<br />
  
    Eq(F_356(x), F_342(x) + F_357(x))<br />
  
    Eq(F_357(x), F_358(x) + F_375(x))<br />
  
    Eq(F_358(x), F_359(x))<br />
  
    Eq(F_359(x), F_13(x)*F_360(x))<br />
  
    Eq(F_360(x), F_361(x) + F_373(x))<br />
  
    Eq(F_361(x), F_362(x)*F_60(x))<br />
  
    Eq(F_362(x), F_363(x) + F_37(x))<br />
  
    Eq(F_363(x), F_364(x) + F_366(x) + F_84(x))<br />
  
    Eq(F_364(x), F_13(x)*F_365(x))<br />
  
    Eq(F_365(x), F_11(x) + F_363(x))<br />
  
    Eq(F_366(x), F_13(x)*F_367(x))<br />
  
    Eq(F_367(x), F_362(x) + F_368(x))<br />
  
    Eq(F_368(x), F_369(x) + F_83(x))<br />
  
    Eq(F_369(x), F_370(x) + F_372(x) + 2*F_84(x))<br />
  
    Eq(F_370(x), F_13(x)*F_371(x))<br />
  
    Eq(F_371(x), F_264(x) + F_369(x))<br />
  
    Eq(F_372(x), F_13(x)*F_363(x))<br />
  
    Eq(F_373(x), F_278(x)*F_374(x))<br />
  
    Eq(F_374(x), F_15(x) + F_362(x))<br />
  
    Eq(F_375(x), F_376(x))<br />
  
    Eq(F_376(x), F_13(x)*F_377(x))<br />
  
    Eq(F_377(x), F_378(x) + F_382(x))<br />
  
    Eq(F_378(x), F_362(x)*F_379(x))<br />
  
    Eq(F_379(x), F_380(x) + F_381(x))<br />
  
    Eq(F_380(x), F_11(x)*F_60(x))<br />
  
    Eq(F_381(x), F_13(x)*F_15(x))<br />
  
    Eq(F_382(x), F_374(x)*F_383(x))<br />
  
    Eq(F_383(x), F_384(x) + F_385(x))<br />
  
    Eq(F_384(x), F_11(x)*F_278(x))<br />
  
    Eq(F_385(x), F_13(x)*F_15(x)*F_2(x))<br />
  
    Eq(F_386(x), F_387(x) + F_392(x))<br />
  
    Eq(F_387(x), F_25(x)*F_388(x))<br />
  
    Eq(F_388(x), -F_356(x) + F_389(x))<br />
  
    Eq(F_389(x), -F_318(x) + F_390(x))<br />
  
    Eq(F_390(x), F_391(x)/F_13(x))<br />
  
    Eq(F_391(x), F_20(x))<br />
  
    Eq(F_392(x), F_353(x)*F_393(x))<br />
  
    Eq(F_393(x), F_394(x)/F_54(x))<br />
  
    Eq(F_394(x), F_395(x) - F_401(x))<br />
  
    Eq(F_395(x), F_396(x) - F_400(x))<br />
  
    Eq(F_396(x), F_397(x) - F_399(x))<br />
  
    Eq(F_397(x), F_398(x)/F_13(x))<br />
  
    Eq(F_398(x), F_343(x))<br />
  
    Eq(F_399(x), F_318(x)*F_53(x))<br />
  
    Eq(F_400(x), F_356(x)*F_53(x))<br />
  
    Eq(F_401(x), F_2(x)*F_388(x))<br />
  
    Eq(F_402(x), F_310(x) + F_403(x))<br />
  
    Eq(F_403(x), F_404(x))<br />
  
    Eq(F_404(x), F_13(x)*F_405(x))<br />
  
    Eq(F_405(x), F_406(x) + F_407(x))<br />
  
    Eq(F_406(x), F_20(x)*F_37(x))<br />
  
    Eq(F_407(x), F_343(x)*F_39(x))<br />
  
    Eq(F_408(x), F_192(x)*F_409(x))<br />
  
    Eq(F_409(x), F_282(x) + F_285(x))<br />
  
    Eq(F_410(x), F_411(x) + F_485(x))<br />
  
    Eq(F_411(x), F_2(x)*F_412(x))<br />
  
    Eq(F_412(x), F_342(x) + F_413(x))<br />
  
    Eq(F_413(x), F_414(x))<br />
  
    Eq(F_414(x), F_13(x)*F_15(x)*F_415(x)*F_60(x))<br />
  
    Eq(F_415(x), F_416(x) + F_424(x))<br />
  
    Eq(F_416(x), F_417(x))<br />
  
    Eq(F_417(x), F_13(x)*F_418(x))<br />
  
    Eq(F_418(x), F_419(x) + F_421(x))<br />
  
    Eq(F_419(x), F_420(x)*F_60(x))<br />
  
    Eq(F_420(x), F_2(x) + F_416(x))<br />
  
    Eq(F_421(x), F_422(x)*F_423(x))<br />
  
    Eq(F_422(x), F_37(x) + F_83(x))<br />
  
    Eq(F_423(x), F_15(x) + F_420(x))<br />
  
    Eq(F_424(x), F_425(x) + F_440(x))<br />
  
    Eq(F_425(x), F_426(x))<br />
  
    Eq(F_426(x), F_13(x)*F_427(x))<br />
  
    Eq(F_427(x), F_428(x) + F_431(x))<br />
  
    Eq(F_428(x), F_19(x) + F_429(x))<br />
  
    Eq(F_429(x), F_268(x) + F_430(x))<br />
  
    Eq(F_430(x), F_192(x)*F_2(x))<br />
  
    Eq(F_431(x), F_432(x) + F_435(x))<br />
  
    Eq(F_432(x), F_433(x) + F_434(x))<br />
  
    Eq(F_433(x), F_15(x)*F_2(x))<br />
  
    Eq(F_434(x), F_413(x) + F_425(x))<br />
  
    Eq(F_435(x), -F_412(x) + F_436(x))<br />
  
    Eq(F_436(x), F_437(x) - F_439(x))<br />
  
    Eq(F_437(x), F_438(x)/F_13(x))<br />
  
    Eq(F_438(x), F_6(x))<br />
  
    Eq(F_439(x), F_129(x) + F_428(x))<br />
  
    Eq(F_440(x), F_441(x))<br />
  
    Eq(F_441(x), F_13(x)*F_442(x))<br />
  
    Eq(F_442(x), F_443(x) + F_444(x))<br />
  
    Eq(F_443(x), F_424(x)*F_60(x))<br />
  
    Eq(F_444(x), F_422(x)*F_445(x))<br />
  
    Eq(F_445(x), F_424(x) + F_446(x))<br />
  
    Eq(F_446(x), F_192(x) + F_447(x))<br />
  
    Eq(F_447(x), F_448(x))<br />
  
    Eq(F_448(x), F_13(x)*F_449(x))<br />
  
    Eq(F_449(x), F_450(x) + F_451(x))<br />
  
    Eq(F_450(x), F_11(x) + F_447(x))<br />
  
    Eq(F_451(x), F_452(x) + F_459(x))<br />
  
    Eq(F_452(x), F_453(x))<br />
  
    Eq(F_453(x), F_13(x)*F_454(x))<br />
  
    Eq(F_454(x), F_455(x) + F_456(x))<br />
  
    Eq(F_455(x), F_11(x) + F_452(x))<br />
  
    Eq(F_456(x), F_264(x) + F_457(x))<br />
  
    Eq(F_457(x), F_458(x))<br />
  
    Eq(F_458(x), F_13(x)*F_452(x))<br />
  
    Eq(F_459(x), F_460(x) + F_473(x) + 2*F_84(x))<br />
  
    Eq(F_460(x), F_13(x)*F_461(x))<br />
  
    Eq(F_461(x), F_462(x) + F_471(x))<br />
  
    Eq(F_462(x), F_447(x) + F_463(x))<br />
  
    Eq(F_463(x), F_464(x))<br />
  
    Eq(F_464(x), F_13(x)*F_465(x))<br />
  
    Eq(F_465(x), F_462(x) + F_466(x))<br />
  
    Eq(F_466(x), F_467(x) + F_469(x))<br />
  
    Eq(F_467(x), F_468(x))<br />
  
    Eq(F_468(x), F_13(x)*F_447(x))<br />
  
    Eq(F_469(x), F_470(x))<br />
  
    Eq(F_470(x), F_13(x)*F_463(x))<br />
  
    Eq(F_471(x), F_472(x) + F_484(x))<br />
  
    Eq(F_472(x), F_468(x) + F_473(x) + 2*F_84(x))<br />
  
    Eq(F_473(x), F_13(x)*F_474(x))<br />
  
    Eq(F_474(x), F_475(x) + F_476(x))<br />
  
    Eq(F_475(x), F_264(x) + F_472(x))<br />
  
    Eq(F_476(x), F_477(x) + F_480(x))<br />
  
    Eq(F_477(x), F_458(x) + F_478(x) + 2*F_84(x))<br />
  
    Eq(F_478(x), F_13(x)*F_479(x))<br />
  
    Eq(F_479(x), F_456(x))<br />
  
    Eq(F_480(x), F_470(x) + F_481(x) + F_483(x) + 2*F_84(x))<br />
  
    Eq(F_481(x), F_13(x)*F_482(x))<br />
  
    Eq(F_482(x), F_471(x))<br />
  
    Eq(F_483(x), 0)<br />
  
    Eq(F_484(x), F_470(x))<br />
  
    Eq(F_485(x), F_486(x) + F_543(x))<br />
  
    Eq(F_486(x), F_487(x) + F_516(x))<br />
  
    Eq(F_487(x), F_488(x) + F_489(x))<br />
  
    Eq(F_488(x), F_2(x)*F_49(x))<br />
  
    Eq(F_489(x), F_0(x)*F_490(x))<br />
  
    Eq(F_490(x), F_491(x))<br />
  
    Eq(F_491(x), F_13(x)*F_492(x))<br />
  
    Eq(F_492(x), F_493(x) + F_512(x))<br />
  
    Eq(F_493(x), F_0(x)*F_494(x))<br />
  
    Eq(F_494(x), F_25(x) + F_495(x))<br />
  
    Eq(F_495(x), F_496(x) + F_497(x))<br />
  
    Eq(F_496(x), F_86(x))<br />
  
    Eq(F_497(x), F_498(x))<br />
  
    Eq(F_498(x), F_13(x)*F_499(x))<br />
  
    Eq(F_499(x), F_500(x) + F_55(x))<br />
  
    Eq(F_500(x), F_501(x) - F_511(x))<br />
  
    Eq(F_501(x), -F_49(x) + F_502(x))<br />
  
    Eq(F_502(x), F_503(x)/F_0(x))<br />
  
    Eq(F_503(x), F_504(x) - F_506(x))<br />
  
    Eq(F_504(x), F_505(x)/F_13(x))<br />
  
    Eq(F_505(x), F_296(x))<br />
  
    Eq(F_506(x), F_507(x) + F_508(x))<br />
  
    Eq(F_507(x), F_2(x)*F_502(x))<br />
  
    Eq(F_508(x), F_509(x) + F_510(x))<br />
  
    Eq(F_509(x), F_49(x)*F_6(x))<br />
  
    Eq(F_510(x), F_49(x)*F_501(x))<br />
  
    Eq(F_511(x), F_37(x)*F_54(x))<br />
  
    Eq(F_512(x), F_513(x) + F_514(x))<br />
  
    Eq(F_513(x), F_2(x)*F_494(x))<br />
  
    Eq(F_514(x), F_351(x) + F_515(x))<br />
  
    Eq(F_515(x), F_49(x)*F_495(x))<br />
  
    Eq(F_516(x), F_2(x)*F_517(x))<br />
  
    Eq(F_517(x), F_518(x))<br />
  
    Eq(F_518(x), F_13(x)*F_519(x))<br />
  
    Eq(F_519(x), F_520(x) + F_532(x))<br />
  
    Eq(F_520(x), F_521(x) + F_526(x))<br />
  
    Eq(F_521(x), F_522(x) + F_523(x))<br />
  
    Eq(F_522(x), F_2(x)*F_319(x))<br />
  
    Eq(F_523(x), F_524(x))<br />
  
    Eq(F_524(x), F_525(x)*F_54(x))<br />
  
    Eq(F_525(x), F_11(x) + F_381(x))<br />
  
    Eq(F_526(x), F_527(x) + F_528(x))<br />
  
    Eq(F_527(x), F_2(x)*F_330(x))<br />
  
    Eq(F_528(x), F_529(x))<br />
  
    Eq(F_529(x), F_530(x)*F_54(x))<br />
  
    Eq(F_530(x), F_20(x) + F_531(x))<br />
  
    Eq(F_531(x), F_13(x)*F_19(x))<br />
  
    Eq(F_532(x), F_533(x) + F_539(x))<br />
  
    Eq(F_533(x), F_534(x) + F_535(x))<br />
  
    Eq(F_534(x), F_2(x)*F_356(x))<br />
  
    Eq(F_535(x), F_536(x))<br />
  
    Eq(F_536(x), F_537(x)*F_54(x))<br />
  
    Eq(F_537(x), F_342(x) + F_538(x))<br />
  
    Eq(F_538(x), F_15(x)*F_34(x))<br />
  
    Eq(F_539(x), F_401(x) + F_540(x))<br />
  
    Eq(F_540(x), F_541(x))<br />
  
    Eq(F_541(x), F_54(x)*F_542(x))<br />
  
    Eq(F_542(x), F_343(x) + F_402(x))<br />
  
    Eq(F_543(x), F_544(x) + F_703(x))<br />
  
    Eq(F_544(x), F_545(x) + F_601(x))<br />
  
    Eq(F_545(x), F_2(x)*F_546(x))<br />
  
    Eq(F_546(x), F_547(x))<br />
  
    Eq(F_547(x), F_13(x)*F_548(x))<br />
  
    Eq(F_548(x), F_549(x) + F_596(x))<br />
  
    Eq(F_549(x), F_0(x)*F_550(x))<br />
  
    Eq(F_550(x), F_425(x) + F_551(x))<br />
  
    Eq(F_551(x), F_552(x) + F_594(x))<br />
  
    Eq(F_552(x), F_364(x) + F_553(x) + F_84(x))<br />
  
    Eq(F_553(x), F_13(x)*F_554(x))<br />
  
    Eq(F_554(x), F_555(x) + F_556(x))<br />
  
    Eq(F_555(x), F_37(x) + F_552(x))<br />
  
    Eq(F_556(x), F_363(x) + F_557(x))<br />
  
    Eq(F_557(x), F_558(x) + F_569(x) + F_582(x) + F_84(x))<br />
  
    Eq(F_558(x), F_13(x)*F_559(x))<br />
  
    Eq(F_559(x), F_452(x) + F_560(x))<br />
  
    Eq(F_560(x), F_558(x) + F_561(x) + 2*F_84(x))<br />
  
    Eq(F_561(x), F_13(x)*F_562(x))<br />
  
    Eq(F_562(x), F_563(x) + F_564(x))<br />
  
    Eq(F_563(x), F_363(x) + F_560(x))<br />
  
    Eq(F_564(x), F_369(x) + F_565(x))<br />
  
    Eq(F_565(x), F_566(x) + F_568(x) + 3*F_84(x))<br />
  
    Eq(F_566(x), F_13(x)*F_567(x))<br />
  
    Eq(F_567(x), F_457(x) + F_565(x))<br />
  
    Eq(F_568(x), F_13(x)*F_560(x))<br />
  
    Eq(F_569(x), F_13(x)*F_570(x))<br />
  
    Eq(F_570(x), F_571(x) + F_580(x))<br />
  
    Eq(F_571(x), F_552(x) + F_572(x))<br />
  
    Eq(F_572(x), F_558(x) + F_573(x) + 2*F_84(x))<br />
  
    Eq(F_573(x), F_13(x)*F_574(x))<br />
  
    Eq(F_574(x), F_571(x) + F_575(x))<br />
  
    Eq(F_575(x), F_576(x) + F_578(x))<br />
  
    Eq(F_576(x), F_370(x) + F_577(x) + 2*F_84(x))<br />
  
    Eq(F_577(x), F_13(x)*F_552(x))<br />
  
    Eq(F_578(x), F_566(x) + F_579(x) + 3*F_84(x))<br />
  
    Eq(F_579(x), F_13(x)*F_572(x))<br />
  
    Eq(F_580(x), F_581(x) + F_593(x))<br />
  
    Eq(F_581(x), F_370(x) + F_577(x) + F_582(x) + F_84(x))<br />
  
    Eq(F_582(x), F_13(x)*F_583(x))<br />
  
    Eq(F_583(x), F_584(x) + F_585(x))<br />
  
    Eq(F_584(x), F_581(x) + F_83(x))<br />
  
    Eq(F_585(x), F_586(x) + F_589(x))<br />
  
    Eq(F_586(x), F_370(x) + F_372(x) + F_587(x) + F_84(x))<br />
  
    Eq(F_587(x), F_13(x)*F_588(x))<br />
  
    Eq(F_588(x), F_368(x))<br />
  
    Eq(F_589(x), F_566(x) + F_579(x) + F_590(x) + F_592(x) + F_84(x))<br />
  
    Eq(F_590(x), F_13(x)*F_591(x))<br />
  
    Eq(F_591(x), F_580(x))<br />
  
    Eq(F_592(x), 0)<br />
  
    Eq(F_593(x), F_566(x) + F_579(x) + 3*F_84(x))<br />
  
    Eq(F_594(x), -F_55(x) + F_595(x))<br />
  
    Eq(F_595(x), -F_555(x) + F_62(x))<br />
  
    Eq(F_596(x), F_597(x) + F_598(x))<br />
  
    Eq(F_597(x), F_2(x)*F_550(x))<br />
  
    Eq(F_598(x), F_599(x) + F_600(x))<br />
  
    Eq(F_599(x), F_425(x)*F_6(x))<br />
  
    Eq(F_600(x), F_49(x)*F_551(x))<br />
  
    Eq(F_601(x), F_0(x)*F_602(x))<br />
  
    Eq(F_602(x), F_603(x))<br />
  
    Eq(F_603(x), F_13(x)*F_604(x))<br />
  
    Eq(F_604(x), F_605(x) + F_688(x))<br />
  
    Eq(F_605(x), F_0(x)*F_606(x))<br />
  
    Eq(F_606(x), F_607(x)/F_13(x))<br />
  
    Eq(F_607(x), F_608(x))<br />
  
    Eq(F_608(x), F_609(x)/F_0(x))<br />
  
    Eq(F_609(x), F_610(x) - F_685(x))<br />
  
    Eq(F_610(x), F_611(x) - F_678(x))<br />
  
    Eq(F_611(x), F_612(x) - F_674(x))<br />
  
    Eq(F_612(x), F_613(x) - F_645(x))<br />
  
    Eq(F_613(x), F_614(x)/F_13(x))<br />
  
    Eq(F_614(x), F_615(x))<br />
  
    Eq(F_615(x), F_13(x)*F_616(x))<br />
  
    Eq(F_616(x), F_617(x) + F_621(x))<br />
  
    Eq(F_617(x), F_618(x))<br />
  
    Eq(F_618(x), F_13(x)*F_619(x))<br />
  
    Eq(F_619(x), F_121(x) + F_620(x))<br />
  
    Eq(F_620(x), F_0(x)*F_5(x))<br />
  
    Eq(F_621(x), F_622(x) + F_624(x))<br />
  
    Eq(F_622(x), F_623(x))<br />
  
    Eq(F_623(x), F_2(x)**2)<br />
  
    Eq(F_624(x), F_625(x))<br />
  
    Eq(F_625(x), F_13(x)*F_626(x))<br />
  
    Eq(F_626(x), F_627(x) + F_628(x))<br />
  
    Eq(F_627(x), F_119(x)*F_66(x))<br />
  
    Eq(F_628(x), F_0(x)*F_629(x))<br />
  
    Eq(F_629(x), -F_54(x) + F_630(x))<br />
  
    Eq(F_630(x), F_631(x) - F_639(x))<br />
  
    Eq(F_631(x), F_632(x) - F_634(x))<br />
  
    Eq(F_632(x), F_633(x)/F_13(x))<br />
  
    Eq(F_633(x), F_66(x))<br />
  
    Eq(F_634(x), F_635(x) + F_636(x))<br />
  
    Eq(F_635(x), F_2(x)*F_60(x))<br />
  
    Eq(F_636(x), F_637(x) + F_66(x))<br />
  
    Eq(F_637(x), F_638(x))<br />
  
    Eq(F_638(x), F_13(x)**2*F_632(x))<br />
  
    Eq(F_639(x), F_640(x) + F_641(x))<br />
  
    Eq(F_640(x), F_2(x)*F_422(x))<br />
  
    Eq(F_641(x), F_642(x) + F_643(x))<br />
  
    Eq(F_642(x), F_37(x)*F_66(x))<br />
  
    Eq(F_643(x), F_644(x))<br />
  
    Eq(F_644(x), F_13(x)*F_632(x)*F_83(x))<br />
  
    Eq(F_645(x), F_646(x) + F_672(x))<br />
  
    Eq(F_646(x), F_2(x)*F_647(x))<br />
  
    Eq(F_647(x), F_13(x) + F_648(x))<br />
  
    Eq(F_648(x), F_649(x) + F_671(x) + F_84(x))<br />
  
    Eq(F_649(x), F_13(x)*F_650(x))<br />
  
    Eq(F_650(x), F_647(x) + F_651(x))<br />
  
    Eq(F_651(x), F_164(x) + F_652(x))<br />
  
    Eq(F_652(x), F_653(x) + F_659(x) + 2*F_84(x))<br />
  
    Eq(F_653(x), F_13(x)*F_654(x))<br />
  
    Eq(F_654(x), F_655(x) + F_656(x))<br />
  
    Eq(F_655(x), F_648(x) + F_652(x))<br />
  
    Eq(F_656(x), F_657(x) + F_669(x))<br />
  
    Eq(F_657(x), F_658(x) + F_659(x) + 2*F_84(x))<br />
  
    Eq(F_658(x), F_13(x)*F_648(x))<br />
  
    Eq(F_659(x), F_13(x)*F_660(x))<br />
  
    Eq(F_660(x), F_661(x) + F_662(x))<br />
  
    Eq(F_661(x), F_169(x) + F_657(x))<br />
  
    Eq(F_662(x), F_663(x) + F_666(x))<br />
  
    Eq(F_663(x), F_664(x))<br />
  
    Eq(F_664(x), F_13(x)*F_665(x))<br />
  
    Eq(F_665(x), F_169(x))<br />
  
    Eq(F_666(x), F_667(x))<br />
  
    Eq(F_667(x), F_13(x)*F_668(x))<br />
  
    Eq(F_668(x), F_657(x))<br />
  
    Eq(F_669(x), F_670(x))<br />
  
    Eq(F_670(x), F_13(x)*F_652(x))<br />
  
    Eq(F_671(x), F_11(x)*F_13(x))<br />
  
    Eq(F_672(x), F_13(x)*F_673(x))<br />
  
    Eq(F_673(x), F_185(x) + F_190(x))<br />
  
    Eq(F_674(x), F_2(x)*F_675(x))<br />
  
    Eq(F_675(x), F_41(x) + F_676(x))<br />
  
    Eq(F_676(x), F_677(x))<br />
  
    Eq(F_677(x), F_13(x)*F_415(x))<br />
  
    Eq(F_678(x), F_679(x) + F_682(x))<br />
  
    Eq(F_679(x), F_2(x)*F_680(x))<br />
  
    Eq(F_680(x), F_681(x))<br />
  
    Eq(F_681(x), F_13(x)*F_53(x))<br />
  
    Eq(F_682(x), F_0(x)*F_683(x))<br />
  
    Eq(F_683(x), F_684(x))<br />
  
    Eq(F_684(x), F_13(x)*F_494(x))<br />
  
    Eq(F_685(x), F_2(x)*F_686(x))<br />
  
    Eq(F_686(x), F_687(x))<br />
  
    Eq(F_687(x), F_13(x)*F_550(x))<br />
  
    Eq(F_688(x), F_689(x) + F_690(x))<br />
  
    Eq(F_689(x), F_2(x)*F_606(x))<br />
  
    Eq(F_690(x), F_691(x) + F_701(x))<br />
  
    Eq(F_691(x), F_6(x)*F_692(x))<br />
  
    Eq(F_692(x), F_693(x))<br />
  
    Eq(F_693(x), F_13(x)*F_694(x))<br />
  
    Eq(F_694(x), F_695(x) + F_696(x))<br />
  
    Eq(F_695(x), F_20(x) + F_429(x))<br />
  
    Eq(F_696(x), F_697(x) + F_698(x))<br />
  
    Eq(F_697(x), F_342(x) + F_434(x))<br />
  
    Eq(F_698(x), F_517(x) + F_699(x))<br />
  
    Eq(F_699(x), F_435(x) - F_700(x))<br />
  
    Eq(F_700(x), F_49(x) + F_517(x))<br />
  
    Eq(F_701(x), F_49(x)*F_702(x))<br />
  
    Eq(F_702(x), F_606(x) - F_692(x))<br />
  
    Eq(F_703(x), F_2(x)*F_704(x))<br />
  
    Eq(F_704(x), -F_546(x) + F_699(x))<br />
  
    Eq(F_705(x), F_706(x) + F_708(x))<br />
  
    Eq(F_706(x), F_707(x))<br />
  
    Eq(F_707(x), F_13(x)*F_4(x)*F_66(x))<br />
  
    Eq(F_708(x), F_709(x))<br />
  
    Eq(F_709(x), F_111(x)*F_13(x)*F_4(x))<br />
  
    Eq(F_710(x), F_2(x) + F_617(x))<br />
  
    Eq(F_711(x), F_712(x))<br />
  
    Eq(F_712(x), F_15(x)*F_185(x)*F_2(x)*F_60(x))<br />
  
    Eq(F_713(x), F_714(x))<br />
  
    Eq(F_714(x), F_2(x)*F_715(x))<br />
  
    Eq(F_715(x), F_716(x) + F_739(x))<br />
  
    Eq(F_716(x), F_717(x) + F_719(x))<br />
  
    Eq(F_717(x), F_718(x) + F_88(x))<br />
  
    Eq(F_718(x), F_0(x)*F_83(x))<br />
  
    Eq(F_719(x), F_720(x) + F_721(x))<br />
  
    Eq(F_720(x), F_2(x)*F_363(x))<br />
  
    Eq(F_721(x), F_0(x)*F_722(x))<br />
  
    Eq(F_722(x), F_723(x) + F_725(x) + 2*F_84(x))<br />
  
    Eq(F_723(x), F_13(x)*F_724(x))<br />
  
    Eq(F_724(x), F_226(x) + F_722(x))<br />
  
    Eq(F_725(x), F_13(x)*F_726(x))<br />
  
    Eq(F_726(x), F_727(x) + F_728(x))<br />
  
    Eq(F_727(x), F_722(x) + F_83(x))<br />
  
    Eq(F_728(x), F_729(x) + F_734(x))<br />
  
    Eq(F_729(x), F_730(x) + F_733(x) + 2*F_84(x))<br />
  
    Eq(F_730(x), F_13(x)*F_731(x))<br />
  
    Eq(F_731(x), F_729(x) + F_732(x))<br />
  
    Eq(F_732(x), F_170(x))<br />
  
    Eq(F_733(x), F_13(x)*F_83(x))<br />
  
    Eq(F_734(x), F_735(x) + F_738(x) + 3*F_84(x))<br />
  
    Eq(F_735(x), F_13(x)*F_736(x))<br />
  
    Eq(F_736(x), F_734(x) + F_737(x))<br />
  
    Eq(F_737(x), F_231(x))<br />
  
    Eq(F_738(x), F_13(x)*F_722(x))<br />
  
    Eq(F_739(x), F_740(x) + F_743(x))<br />
  
    Eq(F_740(x), F_741(x) + F_742(x))<br />
  
    Eq(F_741(x), F_2(x)*F_83(x))<br />
  
    Eq(F_742(x), F_0(x)*F_729(x))<br />
  
    Eq(F_743(x), F_744(x) + F_745(x))<br />
  
    Eq(F_744(x), F_2(x)*F_369(x))<br />
  
    Eq(F_745(x), F_0(x)*F_734(x))<br />
  
    Eq(F_746(x), F_747(x))<br />
  
    Eq(F_747(x), F_748(x) + F_755(x))<br />
  
    Eq(F_748(x), F_749(x) + F_752(x))<br />
  
    Eq(F_749(x), F_750(x) + F_751(x))<br />
  
    Eq(F_750(x), F_2(x)*F_37(x)**2)<br />
  
    Eq(F_751(x), F_105(x)*F_83(x))<br />
  
    Eq(F_752(x), F_753(x) + F_754(x))<br />
  
    Eq(F_753(x), F_2(x)*F_363(x)*F_37(x))<br />
  
    Eq(F_754(x), F_105(x)*F_722(x))<br />
  
    Eq(F_755(x), F_756(x) + F_759(x))<br />
  
    Eq(F_756(x), F_757(x) + F_758(x))<br />
  
    Eq(F_757(x), F_2(x)*F_37(x)*F_83(x))<br />
  
    Eq(F_758(x), F_105(x)*F_729(x))<br />
  
    Eq(F_759(x), F_760(x) + F_761(x))<br />
  
    Eq(F_760(x), F_2(x)*F_369(x)*F_37(x))<br />
  
    Eq(F_761(x), F_105(x)*F_734(x))<br />
  
    Eq(F_762(x), F_37(x)*F_763(x))<br />
  
    Eq(F_763(x), F_119(x) + F_69(x))<br />
  
    Eq(F_764(x), F_765(x))<br />
  
    Eq(F_765(x), F_15(x)*F_2(x)*F_60(x))<br />
  
    Eq(F_766(x), F_2(x)*F_367(x))<br />
  
    Eq(F_767(x), F_367(x)*F_37(x))<br />
  
    Eq(F_768(x), F_769(x) + F_770(x))<br />
  
    Eq(F_769(x), F_2(x)*F_53(x))<br />
  
    Eq(F_770(x), F_771(x) + F_772(x))<br />
  
    Eq(F_771(x), F_2(x)*F_6(x))<br />
  
    Eq(F_772(x), F_49(x)*F_54(x))<br />
  
    Eq(F_773(x), F_774(x))<br />
  
    Eq(F_774(x), F_13(x)*F_775(x))<br />
  
    Eq(F_775(x), F_49(x) + F_776(x))<br />
  
    Eq(F_776(x), F_6(x) + F_777(x))<br />
  
    Eq(F_777(x), -F_49(x) + F_778(x))<br />
  
    Eq(F_778(x), F_779(x) - F_781(x))<br />
  
    Eq(F_779(x), F_780(x)/F_13(x))<br />
  
    Eq(F_780(x), F_49(x))<br />
  
    Eq(F_781(x), F_782(x) + F_783(x))<br />
  
    Eq(F_782(x), F_13(x) + F_24(x))<br />
  
    Eq(F_783(x), F_784(x) + F_785(x))<br />
  
    Eq(F_784(x), F_13(x)*F_37(x))<br />
  
    Eq(F_785(x), F_49(x) + F_786(x))<br />
  
    Eq(F_786(x), F_787(x))<br />
  
    Eq(F_787(x), F_13(x)*F_25(x)*F_39(x))<br />
  
    Eq(F_788(x), F_789(x) + F_790(x))<br />
  
    Eq(F_789(x), F_19(x)*F_60(x))<br />
  
    Eq(F_790(x), F_791(x) + F_792(x))<br />
  
    Eq(F_791(x), F_300(x) + F_49(x))<br />
  
    Eq(F_792(x), F_1316(x) + F_793(x))<br />
  
    Eq(F_793(x), -F_20(x) + F_794(x))<br />
  
    Eq(F_794(x), -F_332(x) + F_795(x))<br />
  
    Eq(F_795(x), F_796(x)/F_13(x))<br />
  
    Eq(F_796(x), F_797(x))<br />
  
    Eq(F_797(x), -F_25(x) + F_798(x))<br />
  
    Eq(F_798(x), -F_226(x) + F_799(x))<br />
  
    Eq(F_799(x), -F_1266(x) + F_800(x))<br />
  
    Eq(F_800(x), F_801(x) - F_823(x))<br />
  
    Eq(F_801(x), F_802(x)/F_13(x))<br />
  
    Eq(F_802(x), F_803(x))<br />
  
    Eq(F_803(x), F_13(x)*F_804(x))<br />
  
    Eq(F_804(x), F_805(x) + F_806(x))<br />
  
    Eq(F_805(x), F_623(x))<br />
  
    Eq(F_806(x), F_6(x) + F_807(x))<br />
  
    Eq(F_807(x), -F_805(x) + F_808(x))<br />
  
    Eq(F_808(x), F_809(x) - F_811(x))<br />
  
    Eq(F_809(x), F_810(x)/F_13(x))<br />
  
    Eq(F_810(x), F_124(x))<br />
  
    Eq(F_811(x), F_812(x) + F_814(x))<br />
  
    Eq(F_812(x), F_813(x))<br />
  
    Eq(F_813(x), F_195(x)*F_6(x))<br />
  
    Eq(F_814(x), F_124(x) + F_815(x))<br />
  
    Eq(F_815(x), F_816(x))<br />
  
    Eq(F_816(x), F_13(x)*F_817(x))<br />
  
    Eq(F_817(x), F_818(x) + F_821(x))<br />
  
    Eq(F_818(x), F_6(x)*F_819(x))<br />
  
    Eq(F_819(x), F_820(x)/F_13(x))<br />
  
    Eq(F_820(x), F_425(x))<br />
  
    Eq(F_821(x), F_808(x)*F_822(x))<br />
  
    Eq(F_822(x), F_192(x) + F_425(x))<br />
  
    Eq(F_823(x), F_1099(x) + F_824(x))<br />
  
    Eq(F_824(x), F_825(x) + F_827(x))<br />
  
    Eq(F_825(x), F_826(x))<br />
  
    Eq(F_826(x), F_11(x)*F_13(x)*F_2(x))<br />
  
    Eq(F_827(x), F_828(x) + F_885(x))<br />
  
    Eq(F_828(x), F_829(x))<br />
  
    Eq(F_829(x), F_13(x)*F_830(x))<br />
  
    Eq(F_830(x), F_805(x) + F_831(x))<br />
  
    Eq(F_831(x), F_832(x) + F_864(x))<br />
  
    Eq(F_832(x), F_833(x))<br />
  
    Eq(F_833(x), F_13(x)*F_834(x))<br />
  
    Eq(F_834(x), F_835(x) + F_840(x))<br />
  
    Eq(F_835(x), F_782(x) + F_836(x))<br />
  
    Eq(F_836(x), F_41(x) + F_837(x))<br />
  
    Eq(F_837(x), F_49(x) + F_838(x))<br />
  
    Eq(F_838(x), F_839(x))<br />
  
    Eq(F_839(x), F_13(x)*F_2(x)*F_27(x))<br />
  
    Eq(F_840(x), F_841(x) + F_844(x))<br />
  
    Eq(F_841(x), F_41(x) + F_842(x))<br />
  
    Eq(F_842(x), F_832(x) + F_843(x))<br />
  
    Eq(F_843(x), F_839(x))<br />
  
    Eq(F_844(x), F_845(x) + F_846(x))<br />
  
    Eq(F_845(x), F_13(x)*F_6(x))<br />
  
    Eq(F_846(x), F_847(x) + F_862(x))<br />
  
    Eq(F_847(x), F_848(x))<br />
  
    Eq(F_848(x), F_13(x)*F_849(x))<br />
  
    Eq(F_849(x), F_850(x) + F_855(x))<br />
  
    Eq(F_850(x), F_0(x)*F_851(x))<br />
  
    Eq(F_851(x), F_852(x) + F_854(x))<br />
  
    Eq(F_852(x), F_6(x) + F_853(x))<br />
  
    Eq(F_853(x), F_41(x) + F_637(x))<br />
  
    Eq(F_854(x), F_629(x) + F_639(x))<br />
  
    Eq(F_855(x), F_856(x) + F_857(x))<br />
  
    Eq(F_856(x), F_2(x)*F_851(x))<br />
  
    Eq(F_857(x), F_858(x) + F_861(x))<br />
  
    Eq(F_858(x), F_859(x) + F_860(x))<br />
  
    Eq(F_859(x), F_6(x)**2)<br />
  
    Eq(F_860(x), F_49(x)*F_853(x))<br />
  
    Eq(F_861(x), F_49(x)*F_854(x))<br />
  
    Eq(F_862(x), F_863(x))<br />
  
    Eq(F_863(x), F_13(x)*F_27(x)*F_6(x))<br />
  
    Eq(F_864(x), F_865(x))<br />
  
    Eq(F_865(x), F_13(x)*F_866(x))<br />
  
    Eq(F_866(x), F_867(x) + F_879(x))<br />
  
    Eq(F_867(x), F_868(x) + F_874(x))<br />
  
    Eq(F_868(x), F_869(x) + F_870(x))<br />
  
    Eq(F_869(x), F_13(x)*F_2(x))<br />
  
    Eq(F_870(x), F_871(x) + F_872(x))<br />
  
    Eq(F_871(x), F_2(x)*F_24(x))<br />
  
    Eq(F_872(x), F_2(x)*F_873(x))<br />
  
    Eq(F_873(x), F_2(x) + F_66(x))<br />
  
    Eq(F_874(x), F_875(x) + F_876(x))<br />
  
    Eq(F_875(x), F_13(x)*F_2(x)*F_37(x))<br />
  
    Eq(F_876(x), F_877(x) + F_878(x))<br />
  
    Eq(F_877(x), F_2(x)*F_785(x))<br />
  
    Eq(F_878(x), F_49(x)*F_873(x))<br />
  
    Eq(F_879(x), F_880(x) + F_882(x))<br />
  
    Eq(F_880(x), F_49(x)*F_881(x))<br />
  
    Eq(F_881(x), F_2(x) + F_873(x))<br />
  
    Eq(F_882(x), F_883(x) + F_884(x))<br />
  
    Eq(F_883(x), F_2(x)*F_777(x))<br />
  
    Eq(F_884(x), F_296(x)*F_873(x))<br />
  
    Eq(F_885(x), F_886(x))<br />
  
    Eq(F_886(x), F_13(x)*F_887(x))<br />
  
    Eq(F_887(x), F_888(x) + F_890(x))<br />
  
    Eq(F_888(x), F_889(x))<br />
  
    Eq(F_889(x), F_11(x)*F_2(x)**2)<br />
  
    Eq(F_890(x), F_891(x) + F_908(x))<br />
  
    Eq(F_891(x), F_892(x))<br />
  
    Eq(F_892(x), F_13(x)*F_893(x))<br />
  
    Eq(F_893(x), F_894(x) + F_901(x))<br />
  
    Eq(F_894(x), F_895(x) + F_898(x))<br />
  
    Eq(F_895(x), F_522(x) + F_896(x))<br />
  
    Eq(F_896(x), F_897(x))<br />
  
    Eq(F_897(x), F_525(x)*F_873(x))<br />
  
    Eq(F_898(x), F_527(x) + F_899(x))<br />
  
    Eq(F_899(x), F_900(x))<br />
  
    Eq(F_900(x), F_530(x)*F_873(x))<br />
  
    Eq(F_901(x), F_902(x) + F_905(x))<br />
  
    Eq(F_902(x), F_534(x) + F_903(x))<br />
  
    Eq(F_903(x), F_904(x))<br />
  
    Eq(F_904(x), F_537(x)*F_873(x))<br />
  
    Eq(F_905(x), F_401(x) + F_906(x))<br />
  
    Eq(F_906(x), F_907(x))<br />
  
    Eq(F_907(x), F_542(x)*F_873(x))<br />
  
    Eq(F_908(x), -F_1080(x) + F_909(x))<br />
  
    Eq(F_909(x), F_910(x) - F_919(x))<br />
  
    Eq(F_910(x), F_911(x) - F_917(x))<br />
  
    Eq(F_911(x), F_912(x) - F_914(x))<br />
  
    Eq(F_912(x), F_913(x)/F_13(x))<br />
  
    Eq(F_913(x), F_891(x))<br />
  
    Eq(F_914(x), F_842(x) + F_915(x))<br />
  
    Eq(F_915(x), F_916(x))<br />
  
    Eq(F_916(x), F_11(x)*F_2(x)*F_24(x))<br />
  
    Eq(F_917(x), F_60(x)*F_918(x))<br />
  
    Eq(F_918(x), F_832(x) + F_891(x))<br />
  
    Eq(F_919(x), F_1079(x) + F_920(x))<br />
  
    Eq(F_920(x), F_921(x))<br />
  
    Eq(F_921(x), F_13(x)*F_922(x))<br />
  
    Eq(F_922(x), F_1074(x) + F_923(x))<br />
  
    Eq(F_923(x), F_0(x)*F_924(x))<br />
  
    Eq(F_924(x), F_832(x) + F_925(x))<br />
  
    Eq(F_925(x), F_1073(x) + F_926(x))<br />
  
    Eq(F_926(x), -F_832(x) + F_927(x))<br />
  
    Eq(F_927(x), F_928(x)/F_28(x))<br />
  
    Eq(F_928(x), -F_1068(x) + F_929(x))<br />
  
    Eq(F_929(x), F_930(x)/F_13(x))<br />
  
    Eq(F_930(x), F_931(x))<br />
  
    Eq(F_931(x), F_13(x)*F_932(x))<br />
  
    Eq(F_932(x), F_864(x) + F_933(x))<br />
  
    Eq(F_933(x), F_864(x) + F_934(x))<br />
  
    Eq(F_934(x), -F_864(x) + F_935(x))<br />
  
    Eq(F_935(x), -F_1067(x) + F_936(x))<br />
  
    Eq(F_936(x), F_937(x)/F_13(x))<br />
  
    Eq(F_937(x), F_938(x))<br />
  
    Eq(F_938(x), F_13(x)*F_939(x))<br />
  
    Eq(F_939(x), F_940(x) + F_961(x))<br />
  
    Eq(F_940(x), F_941(x) + F_946(x))<br />
  
    Eq(F_941(x), F_942(x) + F_943(x))<br />
  
    Eq(F_942(x), F_13(x)*F_2(x)*F_29(x))<br />
  
    Eq(F_943(x), F_944(x) + F_945(x))<br />
  
    Eq(F_944(x), F_2(x)*F_24(x)*F_29(x))<br />
  
    Eq(F_945(x), F_13(x)*F_2(x)*F_873(x))<br />
  
    Eq(F_946(x), F_947(x) + F_949(x))<br />
  
    Eq(F_947(x), F_13(x)*F_2(x)*F_948(x))<br />
  
    Eq(F_948(x), F_83(x) + F_86(x))<br />
  
    Eq(F_949(x), F_950(x) + F_960(x))<br />
  
    Eq(F_950(x), F_2(x)*F_951(x))<br />
  
    Eq(F_951(x), F_952(x) + F_954(x))<br />
  
    Eq(F_952(x), F_292(x) + F_953(x))<br />
  
    Eq(F_953(x), F_13(x)*F_49(x))<br />
  
    Eq(F_954(x), F_955(x) + F_956(x))<br />
  
    Eq(F_955(x), F_13(x)*F_786(x))<br />
  
    Eq(F_956(x), F_957(x))<br />
  
    Eq(F_957(x), F_13(x)*F_25(x)*F_958(x))<br />
  
    Eq(F_958(x), F_82(x) + F_959(x))<br />
  
    Eq(F_959(x), F_13(x)*F_39(x))<br />
  
    Eq(F_960(x), F_292(x)*F_873(x))<br />
  
    Eq(F_961(x), F_962(x) + F_967(x))<br />
  
    Eq(F_962(x), F_963(x) + F_966(x))<br />
  
    Eq(F_963(x), F_2(x)*F_964(x))<br />
  
    Eq(F_964(x), F_310(x) + F_965(x))<br />
  
    Eq(F_965(x), F_13(x)*F_49(x))<br />
  
    Eq(F_966(x), F_13(x)*F_49(x)*F_873(x))<br />
  
    Eq(F_967(x), F_968(x) + F_977(x))<br />
  
    Eq(F_968(x), F_2(x)*F_969(x))<br />
  
    Eq(F_969(x), -F_964(x) + F_970(x))<br />
  
    Eq(F_970(x), F_971(x) - F_973(x))<br />
  
    Eq(F_971(x), F_972(x)/F_13(x))<br />
  
    Eq(F_972(x), F_292(x))<br />
  
    Eq(F_973(x), F_974(x) + F_975(x))<br />
  
    Eq(F_974(x), F_29(x)*F_782(x))<br />
  
    Eq(F_975(x), F_951(x) + F_976(x))<br />
  
    Eq(F_976(x), F_13(x)*F_948(x))<br />
  
    Eq(F_977(x), F_873(x)*F_978(x))<br />
  
    Eq(F_978(x), F_979(x)/F_54(x))<br />
  
    Eq(F_979(x), -F_968(x) + F_980(x))<br />
  
    Eq(F_980(x), -F_1065(x) + F_981(x))<br />
  
    Eq(F_981(x), -F_1058(x) + F_982(x))<br />
  
    Eq(F_982(x), F_983(x)/F_13(x))<br />
  
    Eq(F_983(x), F_984(x))<br />
  
    Eq(F_984(x), -F_1056(x) + F_985(x))<br />
  
    Eq(F_985(x), -F_1053(x) + F_986(x))<br />
  
    Eq(F_986(x), -F_1048(x) + F_987(x))<br />
  
    Eq(F_987(x), -F_1033(x) + F_988(x))<br />
  
    Eq(F_988(x), F_989(x)/F_13(x))<br />
  
    Eq(F_989(x), F_990(x))<br />
  
    Eq(F_990(x), F_13(x)*F_991(x))<br />
  
    Eq(F_991(x), F_992(x) + F_994(x))<br />
  
    Eq(F_992(x), F_993(x))<br />
  
    Eq(F_993(x), F_15(x)*F_49(x)*F_60(x))<br />
  
    Eq(F_994(x), F_1009(x) + F_995(x))<br />
  
    Eq(F_995(x), F_996(x) + F_997(x))<br />
  
    Eq(F_996(x), F_49(x) + F_490(x))<br />
  
    Eq(F_997(x), F_1000(x) + F_998(x))<br />
  
    Eq(F_998(x), F_999(x))<br />
  
    Eq(F_999(x), F_13(x)*F_4(x)*F_416(x))<br />
  
    Eq(F_1000(x), F_1001(x))<br />
  
    Eq(F_1001(x), F_1002(x)*F_13(x)*F_4(x))<br />
  
    Eq(F_1002(x), F_1003(x))<br />
  
    Eq(F_1003(x), F_1004(x)*F_13(x))<br />
  
    Eq(F_1004(x), F_1005(x) + F_1007(x))<br />
  
    Eq(F_1005(x), F_1006(x))<br />
  
    Eq(F_1006(x), F_13(x)*F_420(x)*F_60(x))<br />
  
    Eq(F_1007(x), F_1008(x)*F_423(x))<br />
  
    Eq(F_1008(x), F_729(x) + F_83(x))<br />
  
    Eq(F_1009(x), F_1010(x) + F_1028(x))<br />
  
    Eq(F_1010(x), F_1011(x) + F_296(x))<br />
  
    Eq(F_1011(x), F_1012(x) - F_490(x))<br />
  
    Eq(F_1012(x), F_1013(x) - F_490(x))<br />
  
    Eq(F_1013(x), F_1014(x)/F_13(x))<br />
  
    Eq(F_1014(x), F_1015(x))<br />
  
    Eq(F_1015(x), F_1016(x)*F_13(x))<br />
  
    Eq(F_1016(x), F_1017(x) + F_300(x))<br />
  
    Eq(F_1017(x), F_1018(x) + F_838(x))<br />
  
    Eq(F_1018(x), F_1019(x))<br />
  
    Eq(F_1019(x), F_1020(x)*F_13(x))<br />
  
    Eq(F_1020(x), F_1021(x) + F_1023(x))<br />
  
    Eq(F_1021(x), F_1022(x)*F_28(x))<br />
  
    Eq(F_1022(x), F_49(x) + F_500(x))<br />
  
    Eq(F_1023(x), F_1024(x) + F_1025(x))<br />
  
    Eq(F_1024(x), F_1022(x)*F_33(x))<br />
  
    Eq(F_1025(x), F_1026(x) + F_1027(x))<br />
  
    Eq(F_1026(x), F_42(x)*F_49(x))<br />
  
    Eq(F_1027(x), F_309(x)*F_500(x))<br />
  
    Eq(F_1028(x), F_1029(x) + F_1031(x))<br />
  
    Eq(F_1029(x), F_1030(x))<br />
  
    Eq(F_1030(x), F_13(x)*F_418(x)*F_49(x))<br />
  
    Eq(F_1031(x), F_1032(x))<br />
  
    Eq(F_1032(x), F_1004(x)*F_13(x)*F_49(x))<br />
  
    Eq(F_1033(x), F_1034(x) + F_1041(x))<br />
  
    Eq(F_1034(x), F_1035(x) + F_49(x))<br />
  
    Eq(F_1035(x), F_1036(x))<br />
  
    Eq(F_1036(x), F_1037(x)*F_13(x))<br />
  
    Eq(F_1037(x), F_1038(x) + F_1039(x))<br />
  
    Eq(F_1038(x), F_2(x)*F_362(x)*F_60(x))<br />
  
    Eq(F_1039(x), F_1040(x)*F_374(x))<br />
  
    Eq(F_1040(x), F_310(x) + F_49(x))<br />
  
    Eq(F_1041(x), F_1042(x) + F_292(x))<br />
  
    Eq(F_1042(x), F_1043(x))<br />
  
    Eq(F_1043(x), F_1044(x)*F_13(x))<br />
  
    Eq(F_1044(x), F_1045(x) + F_1046(x))<br />
  
    Eq(F_1045(x), F_2(x)*F_368(x)*F_60(x))<br />
  
    Eq(F_1046(x), F_1040(x)*F_1047(x))<br />
  
    Eq(F_1047(x), F_263(x) + F_368(x))<br />
  
    Eq(F_1048(x), F_1049(x))<br />
  
    Eq(F_1049(x), F_1050(x) + F_1051(x))<br />
  
    Eq(F_1050(x), F_49(x) + F_888(x))<br />
  
    Eq(F_1051(x), F_1052(x))<br />
  
    Eq(F_1052(x), F_13(x)*F_15(x)*F_2(x)**2)<br />
  
    Eq(F_1053(x), F_1054(x) + F_296(x))<br />
  
    Eq(F_1054(x), F_1055(x))<br />
  
    Eq(F_1055(x), F_1037(x)*F_13(x)*F_2(x))<br />
  
    Eq(F_1056(x), F_1057(x))<br />
  
    Eq(F_1057(x), F_1044(x)*F_13(x)*F_2(x))<br />
  
    Eq(F_1058(x), F_1059(x) + F_1062(x))<br />
  
    Eq(F_1059(x), F_1060(x) + F_942(x))<br />
  
    Eq(F_1060(x), F_1061(x) + F_944(x))<br />
  
    Eq(F_1061(x), F_13(x)*F_2(x)*F_54(x))<br />
  
    Eq(F_1062(x), F_1063(x) + F_947(x))<br />
  
    Eq(F_1063(x), F_1064(x) + F_950(x))<br />
  
    Eq(F_1064(x), F_292(x)*F_54(x))<br />
  
    Eq(F_1065(x), F_1066(x) + F_963(x))<br />
  
    Eq(F_1066(x), F_13(x)*F_49(x)*F_54(x))<br />
  
    Eq(F_1067(x), F_488(x))<br />
  
    Eq(F_1068(x), F_1069(x) + F_1070(x))<br />
  
    Eq(F_1069(x), F_33(x)*F_927(x))<br />
  
    Eq(F_1070(x), F_1071(x) + F_1072(x))<br />
  
    Eq(F_1071(x), F_42(x)*F_832(x))<br />
  
    Eq(F_1072(x), F_309(x)*F_926(x))<br />
  
    Eq(F_1073(x), F_37(x)*F_873(x))<br />
  
    Eq(F_1074(x), F_1075(x) + F_1076(x))<br />
  
    Eq(F_1075(x), F_2(x)*F_924(x))<br />
  
    Eq(F_1076(x), F_1077(x) + F_1078(x))<br />
  
    Eq(F_1077(x), F_6(x)*F_832(x))<br />
  
    Eq(F_1078(x), F_49(x)*F_925(x))<br />
  
    Eq(F_1079(x), F_931(x))<br />
  
    Eq(F_1080(x), F_1081(x))<br />
  
    Eq(F_1081(x), F_1082(x)*F_13(x))<br />
  
    Eq(F_1082(x), F_1083(x) + F_1094(x))<br />
  
    Eq(F_1083(x), F_1084(x)*F_28(x))<br />
  
    Eq(F_1084(x), F_1085(x)/F_0(x))<br />
  
    Eq(F_1085(x), F_1086(x) - F_1088(x))<br />
  
    Eq(F_1086(x), F_1087(x)/F_13(x))<br />
  
    Eq(F_1087(x), F_908(x))<br />
  
    Eq(F_1088(x), F_1089(x) + F_1090(x))<br />
  
    Eq(F_1089(x), F_1084(x)*F_2(x))<br />
  
    Eq(F_1090(x), F_1091(x) + F_1092(x))<br />
  
    Eq(F_1091(x), F_6(x)*F_891(x))<br />
  
    Eq(F_1092(x), F_1093(x)*F_49(x))<br />
  
    Eq(F_1093(x), F_1084(x) - F_891(x))<br />
  
    Eq(F_1094(x), F_1095(x) + F_1096(x))<br />
  
    Eq(F_1095(x), F_1084(x)*F_33(x))<br />
  
    Eq(F_1096(x), F_1097(x) + F_1098(x))<br />
  
    Eq(F_1097(x), F_42(x)*F_891(x))<br />
  
    Eq(F_1098(x), F_1093(x)*F_309(x))<br />
  
    Eq(F_1099(x), F_1100(x) + F_1102(x))<br />
  
    Eq(F_1100(x), F_1101(x))<br />
  
    Eq(F_1101(x), F_11(x)*F_13(x)*F_6(x))<br />
  
    Eq(F_1102(x), F_1103(x) + F_1128(x))<br />
  
    Eq(F_1103(x), F_1104(x))<br />
  
    Eq(F_1104(x), F_1105(x)*F_13(x))<br />
  
    Eq(F_1105(x), F_1106(x) + F_1117(x))<br />
  
    Eq(F_1106(x), F_1107(x) + F_1112(x))<br />
  
    Eq(F_1107(x), F_1108(x) + F_1111(x))<br />
  
    Eq(F_1108(x), F_1109(x) + F_1110(x))<br />
  
    Eq(F_1109(x), F_29(x)*F_6(x))<br />
  
    Eq(F_1110(x), F_13(x)*F_853(x))<br />
  
    Eq(F_1111(x), F_13(x)*F_854(x))<br />
  
    Eq(F_1112(x), F_1113(x) + F_1116(x))<br />
  
    Eq(F_1113(x), F_1114(x) + F_1115(x))<br />
  
    Eq(F_1114(x), F_30(x)*F_6(x))<br />
  
    Eq(F_1115(x), F_25(x)*F_853(x))<br />
  
    Eq(F_1116(x), F_25(x)*F_854(x))<br />
  
    Eq(F_1117(x), F_1118(x) + F_1123(x))<br />
  
    Eq(F_1118(x), F_1119(x) + F_1122(x))<br />
  
    Eq(F_1119(x), F_1120(x) + F_1121(x))<br />
  
    Eq(F_1120(x), F_33(x)*F_6(x))<br />
  
    Eq(F_1121(x), F_13(x)*F_2(x)*F_853(x))<br />
  
    Eq(F_1122(x), F_13(x)*F_2(x)*F_854(x))<br />
  
    Eq(F_1123(x), F_1124(x) + F_1127(x))<br />
  
    Eq(F_1124(x), F_1125(x) + F_1126(x))<br />
  
    Eq(F_1125(x), F_42(x)*F_6(x))<br />
  
    Eq(F_1126(x), F_300(x)*F_853(x))<br />
  
    Eq(F_1127(x), F_300(x)*F_854(x))<br />
  
    Eq(F_1128(x), F_1129(x))<br />
  
    Eq(F_1129(x), F_1130(x)*F_13(x))<br />
  
    Eq(F_1130(x), F_1131(x) + F_1133(x))<br />
  
    Eq(F_1131(x), F_1132(x))<br />
  
    Eq(F_1132(x), F_11(x)*F_2(x)*F_6(x))<br />
  
    Eq(F_1133(x), F_1134(x) + F_1167(x))<br />
  
    Eq(F_1134(x), F_1135(x))<br />
  
    Eq(F_1135(x), F_1136(x)*F_13(x))<br />
  
    Eq(F_1136(x), F_1137(x) + F_1152(x))<br />
  
    Eq(F_1137(x), F_1138(x) + F_1145(x))<br />
  
    Eq(F_1138(x), F_1139(x) + F_1143(x))<br />
  
    Eq(F_1139(x), F_1140(x) + F_1141(x))<br />
  
    Eq(F_1140(x), F_319(x)*F_6(x))<br />
  
    Eq(F_1141(x), F_1142(x))<br />
  
    Eq(F_1142(x), F_525(x)*F_853(x))<br />
  
    Eq(F_1143(x), F_1144(x))<br />
  
    Eq(F_1144(x), F_525(x)*F_854(x))<br />
  
    Eq(F_1145(x), F_1146(x) + F_1150(x))<br />
  
    Eq(F_1146(x), F_1147(x) + F_1148(x))<br />
  
    Eq(F_1147(x), F_330(x)*F_6(x))<br />
  
    Eq(F_1148(x), F_1149(x))<br />
  
    Eq(F_1149(x), F_530(x)*F_853(x))<br />
  
    Eq(F_1150(x), F_1151(x))<br />
  
    Eq(F_1151(x), F_530(x)*F_854(x))<br />
  
    Eq(F_1152(x), F_1153(x) + F_1160(x))<br />
  
    Eq(F_1153(x), F_1154(x) + F_1158(x))<br />
  
    Eq(F_1154(x), F_1155(x) + F_1156(x))<br />
  
    Eq(F_1155(x), F_356(x)*F_6(x))<br />
  
    Eq(F_1156(x), F_1157(x))<br />
  
    Eq(F_1157(x), F_537(x)*F_853(x))<br />
  
    Eq(F_1158(x), F_1159(x))<br />
  
    Eq(F_1159(x), F_537(x)*F_854(x))<br />
  
    Eq(F_1160(x), F_1161(x) + F_1165(x))<br />
  
    Eq(F_1161(x), F_1162(x) + F_1163(x))<br />
  
    Eq(F_1162(x), F_388(x)*F_6(x))<br />
  
    Eq(F_1163(x), F_1164(x))<br />
  
    Eq(F_1164(x), F_542(x)*F_853(x))<br />
  
    Eq(F_1165(x), F_1166(x))<br />
  
    Eq(F_1166(x), F_542(x)*F_854(x))<br />
  
    Eq(F_1167(x), F_1168(x) - F_1247(x))<br />
  
    Eq(F_1168(x), F_1169(x) - F_1178(x))<br />
  
    Eq(F_1169(x), F_1170(x) - F_1176(x))<br />
  
    Eq(F_1170(x), F_1171(x) - F_1173(x))<br />
  
    Eq(F_1171(x), F_1172(x)/F_13(x))<br />
  
    Eq(F_1172(x), F_1134(x))<br />
  
    Eq(F_1173(x), F_1174(x) + F_846(x))<br />
  
    Eq(F_1174(x), F_1175(x))<br />
  
    Eq(F_1175(x), F_11(x)*F_24(x)*F_6(x))<br />
  
    Eq(F_1176(x), F_1177(x)*F_60(x))<br />
  
    Eq(F_1177(x), F_1134(x) + F_847(x))<br />
  
    Eq(F_1178(x), F_1179(x) + F_1191(x))<br />
  
    Eq(F_1179(x), F_1180(x))<br />
  
    Eq(F_1180(x), F_1181(x)*F_13(x))<br />
  
    Eq(F_1181(x), F_1182(x) + F_1242(x))<br />
  
    Eq(F_1182(x), F_0(x)*F_1183(x))<br />
  
    Eq(F_1183(x), F_1184(x) + F_847(x))<br />
  
    Eq(F_1184(x), F_1185(x) + F_1241(x))<br />
  
    Eq(F_1185(x), F_1186(x) + F_1240(x))<br />
  
    Eq(F_1186(x), F_1187(x) - F_847(x))<br />
  
    Eq(F_1187(x), F_1188(x)/F_28(x))<br />
  
    Eq(F_1188(x), F_1189(x) - F_1235(x))<br />
  
    Eq(F_1189(x), F_1190(x)/F_13(x))<br />
  
    Eq(F_1190(x), F_1191(x))<br />
  
    Eq(F_1191(x), F_1192(x))<br />
  
    Eq(F_1192(x), F_1193(x)*F_13(x))<br />
  
    Eq(F_1193(x), F_1194(x) + F_1200(x))<br />
  
    Eq(F_1194(x), F_1195(x) - F_847(x))<br />
  
    Eq(F_1195(x), F_1196(x) - F_1198(x))<br />
  
    Eq(F_1196(x), F_1197(x)/F_13(x))<br />
  
    Eq(F_1197(x), F_1103(x))<br />
  
    Eq(F_1198(x), F_1199(x))<br />
  
    Eq(F_1199(x), F_2(x)*F_6(x))<br />
  
    Eq(F_1200(x), F_1194(x) + F_1201(x))<br />
  
    Eq(F_1201(x), -F_1194(x) + F_1202(x))<br />
  
    Eq(F_1202(x), F_1203(x) - F_1233(x))<br />
  
    Eq(F_1203(x), F_1204(x)/F_13(x))<br />
  
    Eq(F_1204(x), F_1205(x))<br />
  
    Eq(F_1205(x), F_1206(x)*F_13(x))<br />
  
    Eq(F_1206(x), F_1207(x) + F_1222(x))<br />
  
    Eq(F_1207(x), F_1208(x) + F_1215(x))<br />
  
    Eq(F_1208(x), F_1209(x) + F_1210(x))<br />
  
    Eq(F_1209(x), F_13(x)*F_29(x)*F_6(x))<br />
  
    Eq(F_1210(x), F_1211(x) + F_1214(x))<br />
  
    Eq(F_1211(x), F_1212(x) + F_1213(x))<br />
  
    Eq(F_1212(x), F_24(x)*F_29(x)*F_6(x))<br />
  
    Eq(F_1213(x), F_13(x)*F_2(x)*F_853(x))<br />
  
    Eq(F_1214(x), F_13(x)*F_2(x)*F_854(x))<br />
  
    Eq(F_1215(x), F_1216(x) + F_1217(x))<br />
  
    Eq(F_1216(x), F_13(x)*F_6(x)*F_948(x))<br />
  
    Eq(F_1217(x), F_1218(x) + F_1221(x))<br />
  
    Eq(F_1218(x), F_1219(x) + F_1220(x))<br />
  
    Eq(F_1219(x), F_6(x)*F_951(x))<br />
  
    Eq(F_1220(x), F_292(x)*F_853(x))<br />
  
    Eq(F_1221(x), F_292(x)*F_854(x))<br />
  
    Eq(F_1222(x), F_1223(x) + F_1228(x))<br />
  
    Eq(F_1223(x), F_1224(x) + F_1227(x))<br />
  
    Eq(F_1224(x), F_1225(x) + F_1226(x))<br />
  
    Eq(F_1225(x), F_6(x)*F_964(x))<br />
  
    Eq(F_1226(x), F_13(x)*F_49(x)*F_853(x))<br />
  
    Eq(F_1227(x), F_13(x)*F_49(x)*F_854(x))<br />
  
    Eq(F_1228(x), F_1229(x) + F_1232(x))<br />
  
    Eq(F_1229(x), F_1230(x) + F_1231(x))<br />
  
    Eq(F_1230(x), F_6(x)*F_969(x))<br />
  
    Eq(F_1231(x), F_853(x)*F_978(x))<br />
  
    Eq(F_1232(x), F_854(x)*F_978(x))<br />
  
    Eq(F_1233(x), F_1234(x))<br />
  
    Eq(F_1234(x), F_49(x)*F_6(x))<br />
  
    Eq(F_1235(x), F_1236(x) + F_1237(x))<br />
  
    Eq(F_1236(x), F_1187(x)*F_33(x))<br />
  
    Eq(F_1237(x), F_1238(x) + F_1239(x))<br />
  
    Eq(F_1238(x), F_42(x)*F_847(x))<br />
  
    Eq(F_1239(x), F_1186(x)*F_309(x))<br />
  
    Eq(F_1240(x), F_37(x)*F_853(x))<br />
  
    Eq(F_1241(x), F_37(x)*F_854(x))<br />
  
    Eq(F_1242(x), F_1243(x) + F_1244(x))<br />
  
    Eq(F_1243(x), F_1183(x)*F_2(x))<br />
  
    Eq(F_1244(x), F_1245(x) + F_1246(x))<br />
  
    Eq(F_1245(x), F_6(x)*F_847(x))<br />
  
    Eq(F_1246(x), F_1184(x)*F_49(x))<br />
  
    Eq(F_1247(x), F_1248(x))<br />
  
    Eq(F_1248(x), F_1249(x)*F_13(x))<br />
  
    Eq(F_1249(x), F_1250(x) + F_1261(x))<br />
  
    Eq(F_1250(x), F_1251(x)*F_28(x))<br />
  
    Eq(F_1251(x), F_1252(x)/F_0(x))<br />
  
    Eq(F_1252(x), F_1253(x) - F_1255(x))<br />
  
    Eq(F_1253(x), F_1254(x)/F_13(x))<br />
  
    Eq(F_1254(x), F_1167(x))<br />
  
    Eq(F_1255(x), F_1256(x) + F_1257(x))<br />
  
    Eq(F_1256(x), F_1251(x)*F_2(x))<br />
  
    Eq(F_1257(x), F_1258(x) + F_1259(x))<br />
  
    Eq(F_1258(x), F_1134(x)*F_6(x))<br />
  
    Eq(F_1259(x), F_1260(x)*F_49(x))<br />
  
    Eq(F_1260(x), -F_1134(x) + F_1251(x))<br />
  
    Eq(F_1261(x), F_1262(x) + F_1263(x))<br />
  
    Eq(F_1262(x), F_1251(x)*F_33(x))<br />
  
    Eq(F_1263(x), F_1264(x) + F_1265(x))<br />
  
    Eq(F_1264(x), F_1134(x)*F_42(x))<br />
  
    Eq(F_1265(x), F_1260(x)*F_309(x))<br />
  
    Eq(F_1266(x), F_1267(x) + F_825(x))<br />
  
    Eq(F_1267(x), F_1268(x) + F_1284(x))<br />
  
    Eq(F_1268(x), F_1269(x))<br />
  
    Eq(F_1269(x), F_1270(x)*F_13(x))<br />
  
    Eq(F_1270(x), F_1271(x) + F_1278(x))<br />
  
    Eq(F_1271(x), F_1272(x) + F_1275(x))<br />
  
    Eq(F_1272(x), F_1273(x) + F_1274(x))<br />
  
    Eq(F_1273(x), F_2(x)*F_29(x))<br />
  
    Eq(F_1274(x), F_13(x)*F_54(x))<br />
  
    Eq(F_1275(x), F_1276(x) + F_1277(x))<br />
  
    Eq(F_1276(x), F_2(x)*F_30(x))<br />
  
    Eq(F_1277(x), F_25(x)*F_54(x))<br />
  
    Eq(F_1278(x), F_1279(x) + F_1282(x))<br />
  
    Eq(F_1279(x), F_1280(x) + F_1281(x))<br />
  
    Eq(F_1280(x), F_2(x)*F_33(x))<br />
  
    Eq(F_1281(x), F_13(x)*F_2(x)*F_54(x))<br />
  
    Eq(F_1282(x), F_1283(x) + F_307(x))<br />
  
    Eq(F_1283(x), F_300(x)*F_54(x))<br />
  
    Eq(F_1284(x), F_1285(x))<br />
  
    Eq(F_1285(x), F_1286(x)*F_13(x))<br />
  
    Eq(F_1286(x), F_1287(x) + F_888(x))<br />
  
    Eq(F_1287(x), F_1288(x) + F_517(x))<br />
  
    Eq(F_1288(x), F_1289(x) - F_1297(x))<br />
  
    Eq(F_1289(x), F_1290(x) - F_1296(x))<br />
  
    Eq(F_1290(x), F_1291(x) - F_1295(x))<br />
  
    Eq(F_1291(x), F_1292(x) - F_1294(x))<br />
  
    Eq(F_1292(x), F_1293(x)/F_13(x))<br />
  
    Eq(F_1293(x), F_517(x))<br />
  
    Eq(F_1294(x), F_837(x) + F_915(x))<br />
  
    Eq(F_1295(x), F_60(x)*F_700(x))<br />
  
    Eq(F_1296(x), F_1018(x) + F_296(x))<br />
  
    Eq(F_1297(x), F_1298(x))<br />
  
    Eq(F_1298(x), F_1299(x)*F_13(x))<br />
  
    Eq(F_1299(x), F_1300(x) + F_1311(x))<br />
  
    Eq(F_1300(x), F_1301(x)*F_28(x))<br />
  
    Eq(F_1301(x), F_1302(x)/F_0(x))<br />
  
    Eq(F_1302(x), F_1303(x) - F_1305(x))<br />
  
    Eq(F_1303(x), F_1304(x)/F_13(x))<br />
  
    Eq(F_1304(x), F_1288(x))<br />
  
    Eq(F_1305(x), F_1306(x) + F_1307(x))<br />
  
    Eq(F_1306(x), F_1301(x)*F_2(x))<br />
  
    Eq(F_1307(x), F_1308(x) + F_1309(x))<br />
  
    Eq(F_1308(x), F_517(x)*F_6(x))<br />
  
    Eq(F_1309(x), F_1310(x)*F_49(x))<br />
  
    Eq(F_1310(x), F_1301(x) - F_517(x))<br />
  
    Eq(F_1311(x), F_1312(x) + F_1313(x))<br />
  
    Eq(F_1312(x), F_1301(x)*F_33(x))<br />
  
    Eq(F_1313(x), F_1314(x) + F_1315(x))<br />
  
    Eq(F_1314(x), F_42(x)*F_517(x))<br />
  
    Eq(F_1315(x), F_1310(x)*F_309(x))<br />
  
    Eq(F_1316(x), F_1317(x))<br />
  
    Eq(F_1317(x), F_13(x)*F_1318(x))<br />
  
    Eq(F_1318(x), F_1319(x) + F_1330(x))<br />
  
    Eq(F_1319(x), F_1320(x)*F_28(x))<br />
  
    Eq(F_1320(x), F_1321(x)/F_0(x))<br />
  
    Eq(F_1321(x), F_1322(x) - F_1324(x))<br />
  
    Eq(F_1322(x), F_1323(x)/F_13(x))<br />
  
    Eq(F_1323(x), F_793(x))<br />
  
    Eq(F_1324(x), F_1325(x) + F_1326(x))<br />
  
    Eq(F_1325(x), F_1320(x)*F_2(x))<br />
  
    Eq(F_1326(x), F_1327(x) + F_1328(x))<br />
  
    Eq(F_1327(x), F_20(x)*F_6(x))<br />
  
    Eq(F_1328(x), F_1329(x)*F_49(x))<br />
  
    Eq(F_1329(x), F_1320(x) - F_20(x))<br />
  
    Eq(F_1330(x), F_1331(x) + F_1332(x))<br />
  
    Eq(F_1331(x), F_1320(x)*F_33(x))<br />
  
    Eq(F_1332(x), F_1333(x) + F_1334(x))<br />
  
    Eq(F_1333(x), F_20(x)*F_42(x))<br />
  
    Eq(F_1334(x), F_1329(x)*F_309(x))<br />
  
    Eq(F_1335(x), F_342(x) + F_700(x))<br />
  
    Eq(F_1336(x), F_1337(x) + F_1338(x))<br />
  
    Eq(F_1337(x), F_342(x) + F_918(x))<br />
  
    Eq(F_1338(x), F_1177(x) + F_1339(x))<br />
  
    Eq(F_1339(x), F_11(x)*F_6(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, 4, 1, 3], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], &#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, 4, 1, 3], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], &#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, 4, 1, 3], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]]}], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 3], &#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [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], [2, 0]]}, {&#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, 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], [2, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#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, 2, 1, 3], &#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [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;: [[1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[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;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [[0, 2], [0, 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], [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, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#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, 2], [2, 0]]}, {&#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], [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;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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], [2, 2], [2, 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;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 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;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 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4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 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;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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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], [0, 2], [0, 3], [1, 2], [3, 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, 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, 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;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [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, 1], [0, 1], [0, 2]]}, {&#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], [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, 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], [1, 1]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 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[[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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], [0, 1], [0, 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], [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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 1], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0], [0, 2], [1, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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4, 3, 0, 2], &#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, 2]]}], [{&#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;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;, 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&#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 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;: [[4, 0]]}, {&#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;, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], 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2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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, 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;: [[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], 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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, 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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: 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3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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], [4, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 1, 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], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 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], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 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{&#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, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 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[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [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;: [[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;: [[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, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#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;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;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 3]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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, 0], [0, 1], [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, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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], 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[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;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;: [[1, 3]]}, {&#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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], 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[[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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;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, 1], &#34;pos&#34;: [[0, 1], [0, 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, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 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0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 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;: [[1, 0], [1, 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;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], 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[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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;: [[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, 1, 3, 2], 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[0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;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, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 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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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 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3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 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;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], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 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], [2, 0], [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], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [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], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 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], [2, 0], [3, 0], [4, 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;: [[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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [0, 0], [0, 0], [0, 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, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 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], [2, 0], [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], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [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], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0, 1], &#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, 1, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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, 0], [0, 2], [0, 3], [2, 3], [3, 2], [4, 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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#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, 3], [0, 3], [0, 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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [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;: [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, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]], 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{&#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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 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&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;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, 2]]}, {&#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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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [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, 1], [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, 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], [0, 2], [0, 2]]}, {&#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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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, 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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;: [[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], &#34;pos&#34;: [[1, 0], [1, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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], [1, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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], &#34;pos&#34;: [[1, 0], [1, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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}, {&#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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [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, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, 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[0, 4], [0, 4], [0, 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, 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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#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, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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[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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#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;: [[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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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, 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[{&#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], [0, 4], [1, 1], [3, 0], [3, 1], [4, 4], [5, 2]], [[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;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[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, 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, 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, 1]]}, {&#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;: [[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, 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, 1, 3, 2], &#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], [3, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[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], &#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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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], 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{&#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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 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[[{&#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;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;: [[1, 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;: [[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, 1, 3, 2], &#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, 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{&#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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 2]], [[1, 1], [2, 0], [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;: 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3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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[[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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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, 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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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, 3], [0, 2], [4, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 3], [0, 2], [0, 1]]}, {&#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, 3], [0, 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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, 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[1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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], 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3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;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], 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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;: [[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, 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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 3], [0, 2], [0, 1]]}, {&#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, 3], [0, 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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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], &#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, 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]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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]]}], 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&#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 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, 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], [3, 0], [3, 1], [4, 1]], [[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;: &#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, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#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, 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, 1], [0, 2]]}, {&#34;patt&#34;: 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[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [1, 2], [3, 0], [3, 1], [3, 2], [4, 2]], [[2, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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;: [[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, 1], &#34;pos&#34;: [[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, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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;: [[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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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;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;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], [3, 2]], [[1, 0], [2, 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], 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[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 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;: [[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], &#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, 1], [1, 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, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 3], [0, 3], [0, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], 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[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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], 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2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 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, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 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{&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], 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1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;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, 2]], [[1, 1], [2, 0], [2, 1], [3, 1]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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;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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 0], [2, 1], [2, 2], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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;: [[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, 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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, 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[{&#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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [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, 3, 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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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, 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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, 0, 1], &#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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 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{&#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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[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;: 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[2, 0]]}, {&#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, 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, 1], [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, 2], [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, 1], [1, 2], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 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, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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, 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;: [[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, 2], [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, 2, 3, 1], &#34;pos&#34;: [[1, 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&#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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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, 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;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], &#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, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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;: [[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, 0], [0, 1]]}, {&#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, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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[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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], [3, 2]], [[1, 0], [2, 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;, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 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&#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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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], [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;: [[3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 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;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, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 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;: [[0, 3], [0, 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;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2], [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], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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], [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;: [[3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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;: [[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], [0, 4], [2, 2], [2, 3], [3, 2], [4, 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, 0]]}, {&#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;: [[0, 3], [0, 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;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2], [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], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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], [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;: [[3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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;: [[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;: [[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;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, 3], [0, 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;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 2], [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, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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;: [[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;: [[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;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, 3], [0, 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;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], 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[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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;: [[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, 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, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [[2, 0], [2, 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;: [[0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 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[[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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], [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;: [[3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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], [1, 2], [3, 0], [3, 1], [3, 2], [4, 5], [5, 3]], [[2, 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;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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, 3]]}, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [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, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [3, 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, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#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, 4], [0, 4], [0, 4], [3, 4]]}, {&#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, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 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, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#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], &#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, 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;: [[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, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#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, 1], [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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 4]]}, {&#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, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#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;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], 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4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#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, 4]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#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, 1], [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, 3], [0, 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&#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#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], &#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], 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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;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, 4], [3, 4], [4, 3]], [[1, 2], [2, 0], [2, 1], [2, 2]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#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, 2], [0, 3], [2, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], 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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;: [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]]}, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [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]]}, {&#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], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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], [4, 0], [4, 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], [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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 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;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 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], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 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], [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;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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;: [[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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 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], [1, 0], 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[3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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], &#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;: [[0, 1], [0, 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&#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;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[2, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1], &#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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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&#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 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[1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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], &#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;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1], [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, 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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;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], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1], &#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, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;: [[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;: 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;: []}, 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2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.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;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#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;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, 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, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;assumptions&#34;: []}, &#34;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: 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[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[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, 1]]}, {&#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;: [[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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 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2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#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, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [3, 0], [3, 0], [3, 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, 0], [3, 0], [3, 0], [4, 0]]}, {&#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, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 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0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[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;, 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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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[2, 0], [2, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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.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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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, 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 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[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], [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;: [[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;: [[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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 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;: [[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;: [[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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;, 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&#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[1, 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, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [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, 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&#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], &#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, 0], [1, 0]]}, 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{&#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#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, 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{&#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, 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], [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, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 0], [0, 0], [1, 0]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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], &#34;pos&#34;: [[2, 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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 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], [0, 1], [2, 0]]}, {&#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, 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, 1], [0, 2], [0, 2]]}, {&#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, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 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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, 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], [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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [{&#34;patt&#34;: 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[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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], &#34;pos&#34;: [[2, 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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [{&#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;: 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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;: [[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;: [[1, 1]]}, {&#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;: [[1, 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, 0], [0, 0], [0, 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], [0, 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4, 2, 1], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: 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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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 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, 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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, 0], [0, 2], [0, 3], [2, 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;: [[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, 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], 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&#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, 2], [1, 2]]}, {&#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, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#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, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 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, 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, 2], [0, 1], [0, 0]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#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, 0], [0, 2], [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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0], [0, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 0], [0, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;, 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[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 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[{&#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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [1, 1]]}, {&#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;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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&#34;children&#34;: [{&#34;class_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, 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;: [[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, 0]]}, {&#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;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], 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&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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.requirement_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, 0], [0, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 0], [0, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;: 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{&#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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [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], &#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, 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, 2], &#34;pos&#34;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: 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0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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], [0, 4], [1, 1], [2, 0], [4, 0], [4, 1]], [[3, 3]]]}}, {&#34;class_module&#34;: 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#34;pos&#34;: [[0, 0]]}, {&#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, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 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[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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, 2], &#34;pos&#34;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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], 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1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], 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[[1, 1], [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, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1], [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, 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;: [[2, 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{&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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], &#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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#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, 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;: [[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;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[0, 0], [1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 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{&#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: 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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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, 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4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;: [[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, 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, 3]]}, {&#34;patt&#34;: [0, 1], 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&#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, 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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;, &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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.requirement_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, 1, 2], &#34;pos&#34;: [[0, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#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, 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;: [[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;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[0, 0], [1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1], [1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 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[{&#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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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.requirement_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;: [[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, 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2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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, 2], [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, 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, 1], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, 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{&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 3]]}], [{&#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;: 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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, 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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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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.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], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0]]}, {&#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;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], 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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;: [[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, 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, 2], [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, 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, 1], [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, 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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 2, 3, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 3]]}], [{&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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], [0, 3]], [[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;: [[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, 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;: [[0, 2], [0, 2]]}, {&#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [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, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#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, 2], [2, 0]]}, {&#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], [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;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 1]]}], [{&#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], &#34;pos&#34;: [[0, 0]]}, {&#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, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;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, 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]], [[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, 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, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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, 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, 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, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 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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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[[{&#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;: [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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], [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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true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 2]], [[4, 1]], [[5, 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, 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;: 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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], [3, 1], [4, 2], [5, 4]], [[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;: [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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 1], [0, 0], [0, 0]]}, {&#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, 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;: [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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#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, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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, 0], [0, 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, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [2, 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, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], 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&#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, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [0, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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, 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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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;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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], 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[[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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{&#34;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;: [[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, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 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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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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[[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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [0, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 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;: [[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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [0, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 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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, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: 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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, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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, 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;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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, 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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 3]], [[1, 0], [2, 1]], [[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;: [[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;: [[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, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [[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, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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;: [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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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&#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, 0], [0, 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, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [{&#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, 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;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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[[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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;: [[1, 2]]}, {&#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, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [[0, 0], [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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#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;: [[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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 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;: [[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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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, 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;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [0, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 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{&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, 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[[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 1]]}, {&#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, 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;: [[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, 1], &#34;pos&#34;: [[0, 0], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1]]}, {&#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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], &#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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [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, 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, 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, 0], [0, 0], [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, 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, 1]]}, {&#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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, 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[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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 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;: [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;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;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], [2, 1], [3, 2]], [[4, 3]]]}}, {&#34;class_module&#34;: 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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[2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], 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{&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 0], [0, 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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 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[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;: [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 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&#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 0], [0, 0], [0, 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;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [2, 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, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [[0, 0], [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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#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;: [[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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;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, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 1], &#34;pos&#34;: [[0, 0], [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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 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;: [[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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#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;: [[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, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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;: [[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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [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;: [[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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#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;: [[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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[3, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [0, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 1]]}, {&#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;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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;: [[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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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[[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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;: [[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, 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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 1], [0, 0], [0, 0]]}, {&#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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 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, 0], [0, 0], [0, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 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1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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4, 3, 0, 2], &#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;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, 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], 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&#34;pos&#34;: [[1, 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, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 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[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, 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;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 0], [0, 0], [0, 1]]}, {&#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, 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;: 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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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;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]]}, 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{&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1], [3, 2], [4, 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, 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;: [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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#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;: [[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, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [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;: [[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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#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, 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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, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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, 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, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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, 0, 1], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[3, 1]]}, {&#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, 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;: [[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, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], [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;: [[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, 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, 1], [3, 1]]}, {&#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;: [2, 0, 1], &#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, 3, 2], &#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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;: [[2, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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;: [[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;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: 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[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [[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, 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;: [[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, 1]]}, {&#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;: [[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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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[[{&#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [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]], [[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;: [0, 1], &#34;pos&#34;: [[1, 0], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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, 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, 0, 1], &#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, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[2, 1]]}, 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0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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, 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], &#34;pos&#34;: [[2, 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, 0], [0, 0], [0, 1]]}, {&#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, 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, 0, 1], &#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, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[1, 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], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 2]]}, {&#34;patt&#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, 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], &#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, 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], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#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, 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;: [[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, 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{&#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, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 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, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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[[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 2]]}, {&#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;: [[0, 0], [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;: [[0, 1], [0, 2], [0, 2], [0, 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, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 0]]}, {&#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, 0]]}, {&#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, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;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, 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;: [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;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[0, 1], [0, 2], [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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 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], &#34;pos&#34;: [[4, 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;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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], &#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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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;: [[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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2], [4, 2], [5, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0], [0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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[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.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;: [[2, 1], [2, 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, 0], [0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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, 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, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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{&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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, 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{&#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, 1], [0, 1], [0, 1], [1, 1]]}, {&#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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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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;: [[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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}, {&#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;: [[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, 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;: [[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, 1]]}, {&#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;: [[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, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 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&#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, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: 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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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, 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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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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], &#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;: [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;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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]], [[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]]}, 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2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1], 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2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 1], &#34;pos&#34;: [[0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 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, 1], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 1], &#34;pos&#34;: [[0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], 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[0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 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, 1], &#34;pos&#34;: [[0, 1], [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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 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;: [[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, 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;: [[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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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&#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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, 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, 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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [2, 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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3]]}, {&#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, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 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, 2], [2, 2], [3, 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, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 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], [2, 2], [2, 2], [2, 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;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 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], [2, 2], [2, 2], [2, 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;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 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, 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;: [[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;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: 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[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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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], [0, 3], [2, 2], [2, 3], [3, 2], [4, 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, 1]]}, {&#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;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[0, 0], [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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[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], &#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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 4, 3, 2, 1], &#34;pos&#34;: [[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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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]]}], 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2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;assumptions&#34;: []}, &#34;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, 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;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [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, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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, 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;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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;: [[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;: [[1, 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, 2], &#34;pos&#34;: [[0, 0], [1, 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;: 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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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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0], [0, 1], [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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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{&#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;: [[1, 2], [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, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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;: [[1, 2]]}, {&#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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;: [[1, 2], [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, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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, 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;: [[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;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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], [0, 1], [2, 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], [1, 2], [1, 1]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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{&#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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;assumptions&#34;: []}, &#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, 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, 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[[{&#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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&#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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;: [[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, 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;: [[1, 2], [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], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [[1, 2], [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, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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;: [[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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, 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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;: [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, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#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, 3, 2], &#34;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], [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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [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;: 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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, 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;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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], [0, 1], [2, 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], [1, 2], [1, 1]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 1], [2, 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, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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], [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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 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, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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], &#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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;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;: [[1, 2], [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, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 1]]}], [{&#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, 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;: [[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;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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], [0, 1], [2, 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], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 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;: 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 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;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 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, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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, 2], [0, 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], [0, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 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, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;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, 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;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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, 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;: [[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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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], [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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], [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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 2]]}], [{&#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;: [[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;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [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], [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, 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;: [[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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [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], [1, 1], [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, 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], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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, 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, 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]]}, 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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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [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], [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;: [[1, 0], [1, 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, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, 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&#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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 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&#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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;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, 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, 1, 2], &#34;pos&#34;: [[1, 0], [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], [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;: [[1, 0], [1, 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, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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, 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;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [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], [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;: [[1, 0], [1, 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, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 1]]}, {&#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, 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;: [[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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1]]}, {&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], &#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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [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, 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, 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, 0], [0, 2], [0, 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, 1]]}, {&#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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [1, 1]]}, {&#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;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: 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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], &#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, 1], &#34;pos&#34;: [[0, 0], [0, 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, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [4, 2], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 3], [4, 2]]}, {&#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, 1], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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, 1, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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], &#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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [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, 1], [2, 0]]}, {&#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], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 2]]}, {&#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, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [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;: [[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, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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;: [[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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [4, 2], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 3], [4, 2]]}, {&#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, 1], [3, 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, 2]]}, {&#34;patt&#34;: [1, 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0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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[[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 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{&#34;patt&#34;: [0, 4, 3, 2, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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], &#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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 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;: [[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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 3], [4, 2]]}, {&#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, 1], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 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], [0, 3], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 3], [4, 2]]}, {&#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, 1], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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, 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1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 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, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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], &#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, 2], &#34;pos&#34;: [[0, 0], [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], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#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;: [[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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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]]}, 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{&#34;patt&#34;: [0, 2, 3, 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], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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;: [[1, 0], [1, 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;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#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;: [[1, 0], [1, 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, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [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;: [[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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#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;: [[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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [1, 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;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[3, 1]]}, {&#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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [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], [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;: [[1, 0], [1, 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, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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{&#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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, 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1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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], 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2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 0], [0, 1], [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, 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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [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, 1], [2, 0]]}, {&#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], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 2]]}, {&#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, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [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;: [[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, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 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[1, 1], [1, 1], [1, 0]]}, {&#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;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[0, 0], [1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1], [1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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, 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, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [4, 2], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 3], [4, 2]]}, {&#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, 1], [3, 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, 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;: 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[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[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;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;: [[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, 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, 1], [1, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 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;: [[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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 3], [4, 2]]}, {&#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, 1], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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], &#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, 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, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#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], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 2]]}, {&#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, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [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;: [[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;: [[1, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 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;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, 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, 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, 1], [1, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], 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1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 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], [0, 3], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 3], [4, 2]]}, {&#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, 1], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: 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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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[2, 0]]}, {&#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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [0, 3], [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, 1], [2, 0]]}, {&#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], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 2]]}, {&#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, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 2], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 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, 3, 4, 2, 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;: [[2, 1], [2, 1], [2, 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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;: [[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;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, 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, 1], [1, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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;: [[2, 0], [3, 1], [3, 1]]}, {&#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], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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, 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;: [[0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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], &#34;pos&#34;: [[0, 0]]}, {&#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, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;class_module&#34;: &#34;tilings.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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1]], [[3, 2], [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, 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, 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, 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, 1], [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]]}, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 0], [0, 1], [0, 2], [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;: [[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;: [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, 1], [0, 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;: [[1, 0], [1, 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;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[3, 1]]}, {&#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, 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;: [[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, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], [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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3, 2], &#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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;: [[2, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 1], [1, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#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, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [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;: [[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;: [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, 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;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[0, 0], [1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 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;: [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, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [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;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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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[1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 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, 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;: [[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, 3], [2, 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, 1], [1, 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, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 3], [2, 3], [2, 3]]}, {&#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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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, 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, 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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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;: [[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;: [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;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#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, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], 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[[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 3], [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, 1], [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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 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;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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#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], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 2]]}, {&#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, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [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;: [[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;: [[1, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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, 1, 2], &#34;pos&#34;: [[0, 2], [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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#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, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [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;: [[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;: [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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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;: [[1, 0], [1, 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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: 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[[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;: [[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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#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, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [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;: [[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;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [2, 3]]}, {&#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;: [[1, 0], [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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [2, 3]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 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{&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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, 2]]}, {&#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;: [[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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#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, 2], [3, 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], [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, 1], [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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 2, 3, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 3]]}], [{&#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;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, 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, 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, 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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], 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[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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, 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0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: 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&#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [4, 2], [5, 3]], [[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, 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, 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;: [[1, 1], [1, 1]]}, {&#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, 2], [2, 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, 1], [1, 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, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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, 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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;class_module&#34;: &#34;tilings.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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [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, 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, 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, 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;: [[1, 1], [1, 1]]}, {&#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, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [5, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 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{&#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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [4, 2], [5, 3]], [[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, 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;: [[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;: [[3, 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;: [2, 0, 1], &#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, 3, 2], &#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], [3, 3]]}, {&#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;: [[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;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [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;: [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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 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, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;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], [3, 3]], [[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, 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;: [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, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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;: [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, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [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;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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [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, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [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;: [[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;: [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;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#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, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [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;: [[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;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#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;: [[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;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#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, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], 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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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2], [2, 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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 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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;: [[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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 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], 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[[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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.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], [4, 2], [5, 3]], [[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, 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, 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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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;: [[1, 0], [1, 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, 0], [1, 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;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 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;: [1, 4, 3, 0, 2], &#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.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, 1], [1, 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, 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;: [[1, 0], [1, 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, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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, 3], [3, 2], [4, 3]], [[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;, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;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, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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, 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, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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]], [[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], &#34;pos&#34;: [[2, 1]]}, {&#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], [2, 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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 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;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 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;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 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;: [[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, 2], [1, 0], [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;: [[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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 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;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[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, 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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [[5, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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, 3], [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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], [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]], [[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, 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], [1, 0]]}, {&#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;: [[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, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], [3, 2], [4, 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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 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{&#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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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], [3, 2], [4, 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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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], &#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;: [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;: [[0, 1], [0, 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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 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, 2], [0, 2], [0, 2], [2, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 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, 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, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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], &#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, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1], [4, 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], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 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2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 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, 1], &#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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 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{&#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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 2], [4, 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, 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], &#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], &#34;pos&#34;: [[6, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: 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&#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;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], 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[[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], [3, 0], [4, 0], [5, 3], [6, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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], &#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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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, 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, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [[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, 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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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;: [[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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, 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&#34;pos&#34;: [[2, 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, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#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, 3], [0, 3], [0, 3]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 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4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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], &#34;pos&#34;: [[4, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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], [2, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], 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[[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1], &#34;pos&#34;: [[0, 1], [0, 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, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], 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4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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], [2, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 2], [5, 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;: [[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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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;: [[3, 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[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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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, 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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 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[[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], &#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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#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, 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, 1], &#34;pos&#34;: [[0, 2], [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;: [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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], [2, 3], [3, 0], [3, 1]], [[1, 2]]]}}, 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[[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [[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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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&#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, 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1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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], &#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 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, 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, 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], [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;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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;: [[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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#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, 1], [5, 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], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [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;: [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 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, 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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [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;: [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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;: [[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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;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, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 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[2, 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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 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&#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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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], &#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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 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, 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, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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[[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;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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, 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3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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, 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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 0], [0, 1], [0, 0], [0, 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [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;: [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [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;: [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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, 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, 2], [0, 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, 0], [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;: [[1, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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;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], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;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;: [[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;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, 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0]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [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;: [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;assumptions&#34;: []}, &#34;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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;, 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0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], 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[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[1, 0]]}]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 4, 2, 3, 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, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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], [1, 0], [1, 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[{&#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], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 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[[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 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[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], 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0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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], [1, 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], [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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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, 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, 0], [1, 0]]}, {&#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;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#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, 2], [3, 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], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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], &#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;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], [3, 2]], [[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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [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, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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], [3, 2]], [[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;: [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, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [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, 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, 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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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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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;: [[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, 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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 1], [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, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 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, 2], [0, 2], [0, 2], [1, 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, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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&#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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: 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0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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]], [[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;: 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[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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&#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1], &#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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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&#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;: 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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], [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], [1, 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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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], [1, 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], [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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [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, 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;: [[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], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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;: [[3, 2], [3, 2]]}, {&#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], [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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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], &#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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], [3, 2]], [[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, 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, 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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;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, 2]], [[2, 1], [3, 0]]]}}, {&#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, 1], [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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 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, 2], [0, 2], [0, 2], [1, 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, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], 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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;: [[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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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, 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, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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], [1, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[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], &#34;pos&#34;: [[1, 0], [1, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, 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[0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 2], [0, 2], [0, 2], [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, 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, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: 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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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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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, 0], [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, 2], [0, 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;: [[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, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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], 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{&#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]], [[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, 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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[4, 1]]}], [{&#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], &#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 2], [1, 0], [2, 0], [3, 2], [5, 2]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 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{&#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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], [1, 0]]}, 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: 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[0, 2], [0, 2], [0, 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], [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;: [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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 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], &#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;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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&#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;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;: [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, 2], [1, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 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, 2], [0, 2], [0, 2], [1, 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, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [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;: [[3, 0], [3, 0]]}, {&#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, 1], [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, 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, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 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, 0], [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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], 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&#34;pos&#34;: [[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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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]], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 0], [0, 1], [0, 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, 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;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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], 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&#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#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, 1]]}, {&#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;: [[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, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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, 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, 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]]}, 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&#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#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;: [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;requirements&#34;: [[{&#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.factor&#34;, &#34;strategy_class&#34;: 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4, 3, 0, 2], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 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, 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;: [[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, 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;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [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, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 2], [2, 0], [3, 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], &#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, 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;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 3], [0, 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], [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;: [[1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#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, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 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&#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 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[0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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, 3], [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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 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, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[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], &#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;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 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;: [[3, 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[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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 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;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, 3], [1, 0], [3, 0], [4, 0], [5, 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;, 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[{&#34;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], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [{&#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, 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, 1], [0, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 1], [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, 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, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [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, 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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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, 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, 1, 3, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#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;: [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;: [[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, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: 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1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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], &#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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 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, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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, 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], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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&#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;: [[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, 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]]}, {&#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], &#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;: [[4, 4]]}, {&#34;patt&#34;: 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[[{&#34;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, 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, 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, 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, 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, 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;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, 0], [1, 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;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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, 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;: [[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, 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;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[5, 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, 2], [1, 0], [2, 0], [3, 3], [4, 2], [6, 4]], [[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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [[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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;: [[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], 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&#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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;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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [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], [3, 1], [4, 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, 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;: [[1, 0], [3, 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], [3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#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;: [[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, 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, 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], [2, 0]]}, {&#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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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;: [[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, 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, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 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;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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 1]]}, {&#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;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[1, 0], [1, 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;: [[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, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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, 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], [3, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: 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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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 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0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [0, 4, 3, 2, 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;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: 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, 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], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], 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1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#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;: [[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, 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, 1]]}, {&#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;: [[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;: 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1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#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;: [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], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [3, 3], [4, 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;: [{&#34;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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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;: [[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;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 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, 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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 1], [1, 1], [1, 1], [1, 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[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;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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], 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[0, 3], [0, 3], [3, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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;: [[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, 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], [2, 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, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], 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[0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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]]}, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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], 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&#34;obstructions&#34;: [{&#34;patt&#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, 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, 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, 2]]}, {&#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [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], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [4, 1], [4, 1]]}, {&#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], [3, 4]]}, {&#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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 1]]}, {&#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], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#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, 4], [0, 4], [0, 4], [3, 4]]}, {&#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], [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, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#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, 4], [0, 3], [5, 3]]}, {&#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;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#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, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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, 2, 3, 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;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [0, 4, 3, 2, 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;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#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;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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;: [[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, 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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], 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[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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, 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;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], &#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, 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, 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, 3], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#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, 1, 3, 2], &#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], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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, 2]]}, {&#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 3], [4, 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], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 1]]}], [{&#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;: [[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], &#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;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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], [3, 1], [4, 3]], [[2, 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, 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;: [[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, 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;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[5, 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, 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, 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;: [[0, 0], [0, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 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;: [[4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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;: [[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, 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;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [[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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 2]]}, {&#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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;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]], [[3, 2]]]}}, {&#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], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: 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{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 3, 4, 2, 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;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 2, 3, 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;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [0, 4, 3, 2, 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;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [[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, 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;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [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, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 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, 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;: [[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;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#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;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#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, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 3, 4, 2, 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;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 2, 3, 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;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [0, 4, 3, 2, 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;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 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], [2, 3]], [[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 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], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 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, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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;: 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[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 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, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 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, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [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;: [[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;: [[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, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#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, 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, 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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [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, 1, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 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;: [[1, 1], [5, 3], [5, 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], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 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;: [[1, 1], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [5, 0], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [5, 3], [5, 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;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 3], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 3], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 3], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3], [5, 0], [5, 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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, 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&#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 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;: [[4, 0]]}, {&#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, 3], [1, 1], [2, 3], [4, 3], [5, 0], [5, 3]], [[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, 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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3], [3, 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, 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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 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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], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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], [3, 3], [4, 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;: [{&#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;: [[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, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[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, 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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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;, &#34;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;: [[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, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [[3, 0], [3, 0], [3, 0], [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, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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;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;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 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], &#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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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, 3], [0, 2], [4, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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;: [[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], &#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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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], &#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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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[[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], 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{&#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], &#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, 0]]}, {&#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], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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, 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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1]]}, {&#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], [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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 3], [0, 2], [0, 1]]}, {&#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, 3], [0, 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, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 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&#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[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], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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&#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[1, 1]]}, 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[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#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;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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, 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;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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]]}, 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0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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]]}, 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4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1], [4, 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], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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4, 3, 2, 1], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 3], [1, 0], [2, 0], [3, 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], &#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;: [[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, 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;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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, 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;: [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 2, 0], &#34;pos&#34;: [[1, 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;: [[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], [3, 2], [4, 1], [5, 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, 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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 1]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 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[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[1, 1]]}, {&#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;: [[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, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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, 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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 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;: [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, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 3, 2], &#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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 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;: [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;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;: [[1, 0], [1, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, 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{&#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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], &#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;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[2, 2]]}, {&#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, 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;: [[1, 0], [1, 0]]}, {&#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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], 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1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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&#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;: [[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, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;assumptions&#34;: []}, &#34;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], 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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;: [[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, 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;: [[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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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, 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], &#34;pos&#34;: [[0, 0]]}, {&#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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [[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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;: [[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;: [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, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[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, 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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;: [[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, 1], [0, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, 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3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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]]}, 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[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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, 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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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;: [[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, 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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 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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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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, 3], [0, 2], [4, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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, 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;: [[4, 2]]}, {&#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, 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, 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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[0, 1], [0, 3], [0, 1], 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: 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[[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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, 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, 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, 0]]}, {&#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], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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;: [[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, 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;: [[3, 1], [3, 1]]}, {&#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;: [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, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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;: [[2, 2]]}, {&#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;: [[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, 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, 0]]}, {&#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], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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, 0]]}, {&#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], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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, 3], [0, 2], [4, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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, 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;: [[4, 2]]}, {&#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, 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, 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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 3]]}], [{&#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, 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, 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, 0]]}, {&#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], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], 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[[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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, 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, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1], [4, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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;: [[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;: 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0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;: 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0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 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, 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, 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[[2, 0], [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;: [[0, 3]]}], [{&#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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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], 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&#34;partition&#34;: [[[0, 1], [0, 3]], [[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, 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;: [[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, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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[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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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, 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, 3]]}, {&#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, 2]]}, {&#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#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;: [[5, 3]]}, {&#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;: [[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, 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, 1], &#34;pos&#34;: 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[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#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;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], 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{&#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;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 1]]}, {&#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], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 4]]}, {&#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], [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, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#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;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#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, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#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;: [[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;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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, 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, 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, 3]]}, {&#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, 2]]}, {&#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#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], [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, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#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, 4], [0, 3], [5, 3]]}, {&#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;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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, 2, 3, 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;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 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&#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}], &#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;: [[3, 4]]}], [{&#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;: [[5, 3]]}, {&#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;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;: [[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, 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;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [0, 4, 3, 2, 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;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}], &#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;: [[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;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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, 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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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;: [[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, 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;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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, 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, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#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, 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, 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], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [3, 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;: [[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], 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[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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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, 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, 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, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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, 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, 1], [0, 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, 2], [0, 2], [0, 4]]}, {&#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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#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, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 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, 2], [0, 2], [0, 2], [1, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#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], [0, 1]]}, {&#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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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, 4], [0, 2], [1, 2]]}, {&#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, 0], [0, 2], [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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 2], [0, 2], [0, 2], [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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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;: [[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;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#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, 1], [0, 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, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[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, 4, 1, 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, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1], [4, 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], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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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], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], 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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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], 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[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [3, 3], [4, 1]], [[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;: [[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, 0], [1, 0]]}, {&#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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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], &#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, 0], [0, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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], 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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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [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, 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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [0, 0], [0, 0], [0, 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, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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.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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 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], [3, 0], [3, 0], [3, 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, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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], [3, 0], [3, 0], [3, 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], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 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], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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], &#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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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, 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], &#34;pos&#34;: [[4, 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;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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;: [[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], &#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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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], &#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;: [[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, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, 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&#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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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;: [[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], &#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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 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[[{&#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;: [[4, 2]]}, {&#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, 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, 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, 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, 3], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#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, 1, 3, 2], &#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], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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;: [[1, 0], [1, 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, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 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, 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, 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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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, 3], [0, 2], [4, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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;: [[4, 2]]}, {&#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, 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;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, 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, 3], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#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, 3], [0, 3], [0, 3], [1, 3]]}, {&#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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 3]]}], [{&#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;: [[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;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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.requirement_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, 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, 1], &#34;pos&#34;: [[2, 2], [2, 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2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2], [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, 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;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 3, 2], &#34;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], [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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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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;: [[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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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]], [[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, 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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 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[0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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{&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 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, 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, 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, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], 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0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 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, 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, 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, 0]]}, {&#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], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [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, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 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, 3], [0, 2], [4, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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;: [[4, 2]]}, {&#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, 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;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, 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, 3], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#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, 3], [0, 3], [0, 3], [1, 3]]}, {&#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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 3]]}], [{&#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;: [[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;: [[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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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.requirement_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], 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{&#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;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[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], [3, 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], &#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[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, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 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, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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, 0], [0, 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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 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, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;: [[0, 4], [0, 4]]}, {&#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, 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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#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;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], &#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, 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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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{&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [4, 2]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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, 3], [0, 2], [4, 2]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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;: 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;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, 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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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], [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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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, 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, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 4]]}], [{&#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, 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, 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;: [[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, 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, 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;: [[1, 0], [4, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#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, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[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, 1]]}], [{&#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, 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, 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[0, 4]]}], [{&#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, 3]]}]], 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[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, 1, 3, 2], &#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], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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.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], [4, 3]], [[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, 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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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], [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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], 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[0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], 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&#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [2, 0], [2, 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, 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, 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;: [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;: [[1, 0], [1, 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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], 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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, 3]], [[1, 0], [2, 0], [2, 1]], [[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, 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, 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], [1, 1]]}, {&#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, 2], [0, 2], [0, 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], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [4, 2]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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, 3], [0, 2], [4, 2]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1, 3, 2], &#34;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], [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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}, {&#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, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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.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], [4, 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, 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], &#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], &#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;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [6, 2]]}, {&#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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 1]]}, {&#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], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#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, 4], [0, 4], [0, 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], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#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], [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, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#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], [5, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#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], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], 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0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;, 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&#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [3, 1], [3, 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, 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;: [[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, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;assumptions&#34;: []}, &#34;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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[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], [0, 4], [1, 1], [3, 0], [3, 1], [4, 4], [5, 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, 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], &#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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 3], [0, 3], [0, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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;: [[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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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;: [[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, 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, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 3], [0, 3], [0, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 1]]}], [{&#34;patt&#34;: [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;: [[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, 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, 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, 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;: [[2, 3], [2, 3]]}, {&#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, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: 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3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}, {&#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;: [[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;: [[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], 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[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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [1, 2, 0], 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&#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, 1]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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;: [[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, 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, 1]]}, {&#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;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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], &#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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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, 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], &#34;pos&#34;: [[4, 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;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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;: [[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, 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, 3, 2], &#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], [1, 1]]}, 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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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[2, 0]]}]], &#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, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2]], [[2, 0]]]}}, {&#34;class_module&#34;: 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[[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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3], [3, 2], [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], &#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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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], 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&#34;pos&#34;: [[0, 0], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 0], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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;: [[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, 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, 2], &#34;pos&#34;: [[2, 0], [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;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 3], [0, 3], [0, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 1]]}], [{&#34;patt&#34;: [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;: [[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;: [[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, 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;: [[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, 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;: [[1, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], 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[3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#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;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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;: [[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, 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;: [[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, 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;: [[1, 4], [1, 4]]}, {&#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;: [[1, 4], [1, 4]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#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, 1]]}], [{&#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], &#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, 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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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;: [[1, 0], [1, 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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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, 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, 3]]}, {&#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;: [[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;: [[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], &#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, 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;: [[1, 4], [1, 4]]}, {&#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;: [[1, 4], [1, 4]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 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], [1, 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], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 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, 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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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]]}, 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2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 2, 3, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 3]]}], [{&#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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], &#34;pos&#34;: [[3, 0]]}, 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[[{&#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, 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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 3], [3, 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;, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: 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[[{&#34;patt&#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, 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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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]]}, 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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, 3], [0, 2], [1, 2]]}, {&#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, 0], [0, 2], [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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 2], [0, 2], [0, 2], [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, 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, 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1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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;: [[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, 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, 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;: [[1, 2], [1, 2]]}, {&#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, 1], [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, 2], [2, 2], [3, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], 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[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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;: [[2, 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;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;: [[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, 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;: [[1, 2], [1, 2]]}, {&#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, 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&#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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[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], [3, 1], [3, 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;: [[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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, 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[[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[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, 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, 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, 1]]}, {&#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;: [[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;: 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[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], &#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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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;: [[0, 2]]}]}}, 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2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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, 1], 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1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;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, 2]], [[1, 1], [2, 0], [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;: [[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], &#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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[1, 1], [2, 1], [3, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 0]]}, {&#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;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[2, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 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&#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, 0], &#34;pos&#34;: [[1, 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;: [[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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 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, 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;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 2]]}], [{&#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, 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, 1]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#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;: [[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, 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, 1]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 2]]}], [{&#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, 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, 1]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#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;: [[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, 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, 1]]}, {&#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;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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], &#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, 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, 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;: [[2, 2], [2, 2]]}, {&#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, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#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, 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], &#34;pos&#34;: [[4, 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;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#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;: [[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, 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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 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, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;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, 2]], [[1, 1], [2, 0], [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;: [[0, 1]]}, {&#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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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], &#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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 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, 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;: [[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, 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;: [[1, 4], [1, 4]]}, {&#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;: [[1, 4], [1, 4]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#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, 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, 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, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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[[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], [0, 4], [1, 4], [3, 3], [4, 2]], [[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;: [[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]]}, 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1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 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[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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;: [[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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;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], &#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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [4, 3]]}, 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0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[2, 0]]}, {&#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;: [[5, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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]]}, 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[[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [2, 1]], [[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;, 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&#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, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 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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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;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]], [[2, 2]]]}}, {&#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, 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, 2], [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, 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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 2], [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;: [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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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;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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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;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;: 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&#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#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, 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;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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 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;: [[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, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 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, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 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;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, 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, 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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 1, 3, 2], &#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], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[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;: [[1, 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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 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;: [{&#34;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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 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, 3], [0, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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, 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, 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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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], &#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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 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[[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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], &#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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 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0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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&#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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[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, 2], [0, 3]], [[1, 1], [2, 0], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;assumptions&#34;: []}, &#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, 0, 1], &#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, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 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;: 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{&#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, 3], [0, 3], [0, 3]]}, {&#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, 2], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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&#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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;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;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [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, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 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&#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[5, 1]]}], [{&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 3], [0, 4]], [[1, 2], [2, 0], [3, 0], [4, 2], [6, 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], &#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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#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;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 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, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#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, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 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&#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;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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]]}, 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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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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, 1], [0, 3], [1, 0], [3, 0], [4, 0], [5, 1], [5, 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, 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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 1]]}], [{&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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;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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2]], [[1, 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;: [[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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], 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{&#34;patt&#34;: [2, 0, 1], &#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;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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2]], [[1, 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;: [[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, 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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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], [2, 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;: [[2, 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;: [[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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2], [4, 2]], [[1, 1], [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, 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, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#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], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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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, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 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{&#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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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[[{&#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, 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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[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, 2], [0, 3]], [[1, 1], [2, 0], [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;: [[0, 2]]}, {&#34;patt&#34;: [0], 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[[2, 1], [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;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, 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, 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;: 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{&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[1, 1]]}], [{&#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;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;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, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], 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0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[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, 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], 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{&#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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[4, 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;: [[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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[4, 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;: [[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, 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;: [[1, 1], [1, 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;: [[2, 0], [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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#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], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [3, 0], [3, 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, 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;: [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, 2], [2, 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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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, 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], 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0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 3], [0, 4]], [[1, 0], [1, 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;: [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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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, 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, 3], [0, 4]], [[1, 2], [2, 0], [2, 1], [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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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], &#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, 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, 1]]}, {&#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;: [[3, 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1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;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, 1]]}, {&#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;: [[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, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [3, 3], [4, 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;: [{&#34;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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 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[0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 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, 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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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, 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, 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], &#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, 3]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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], 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[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[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, 1]]}, {&#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;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}]}}, {&#34;class_module&#34;: 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[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, 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4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 4], [1, 1], [3, 0], [3, 1], [4, 1], [5, 4], [6, 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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 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], [4, 1]]}, {&#34;patt&#34;: [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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, 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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;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]]}, 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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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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], [3, 1], [4, 1], [5, 3]], [[2, 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, 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, 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;: [[0, 0], [3, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#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, 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;: [[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;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[0, 0], [1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 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{&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[1, 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], &#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, 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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}, {&#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, 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, 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;: [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], [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;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;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, 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, 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, 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, 0], [4, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 3]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], 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&#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[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, 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, 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;: [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, 1, 3, 2], &#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], [2, 3]]}, {&#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;: [[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;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}], [{&#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, 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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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;: [[1, 0], [1, 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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 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, 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;: [[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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 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&#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [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, 1]]}], [{&#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, 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, 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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 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], [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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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[[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, 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4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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, 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, 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, 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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 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, 1], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 2, 3, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 3]]}], [{&#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, 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, 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, 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;: [[1, 1], [1, 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, 2], [0, 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], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 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[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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.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], [4, 3]], [[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, 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, 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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 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], [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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 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[[1, 0], [1, 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;: [[1, 0], [1, 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;: [[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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [[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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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;: [[1, 0], [1, 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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1], [1, 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, 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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [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, 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], [3, 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;: [[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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [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, 2]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 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[{&#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;: [[1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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, 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, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3], [3, 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, 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], &#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, 3]]}, {&#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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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;: [[2, 0], [2, 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, 2], [0, 2], [4, 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], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, 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[0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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], [3, 3], [4, 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;: [{&#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, 0], [1, 0]]}, {&#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;: [[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, 1]]}, {&#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;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 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[{&#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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], 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2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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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[[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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;: [[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, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], &#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, 2]]}, {&#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 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;: [[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, 3, 2], &#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], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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;: [[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, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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], [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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;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;: [[2, 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], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 1], [4, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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], [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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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, 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;: [[1, 0], [1, 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], [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;: [[1, 0], [2, 0], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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], [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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [3, 0]]}, {&#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, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[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;: [[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, 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, 0]]}, {&#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;: [[6, 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;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3]]}], [{&#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, 4]]}, {&#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;: [[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], &#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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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], [0, 3], [3, 3]], [[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;: 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&#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], &#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], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#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, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], [1, 2], [3, 0], [3, 1], [3, 2], [4, 2], [5, 5], [6, 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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], [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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2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1], &#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, 0, 1], &#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, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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;: [[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, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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, 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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;comb_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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;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, 3], [4, 3], [5, 2]], [[1, 1], [2, 0], [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;: [[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], &#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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 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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, 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, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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, 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;: [[1, 0], [1, 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], [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;: [[1, 0], [2, 0], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;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;: [[2, 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], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 1], [4, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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], [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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[{&#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;: [[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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1], [4, 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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 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, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#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, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[1, 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, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 1]]}, {&#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, 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;: [[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#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;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [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, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [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, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2]]}, {&#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, 2], [3, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0], [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;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 0]]}, {&#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, 2], &#34;pos&#34;: [[1, 0], [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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;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], [5, 3]], [[1, 2], [2, 0], [3, 0], [3, 2]], [[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, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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;: [[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, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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&#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], &#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, 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], &#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], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#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, 1], [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, 3], [0, 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1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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, 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], &#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], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#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, 1], [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, 2], [2, 2], [3, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#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;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#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;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, 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[[5, 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, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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;: [[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, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;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, 2], [4, 3], [5, 2]], [[1, 1], [2, 0], [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;: [[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], &#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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 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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, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;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], &#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], 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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], [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, 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, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#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;: [[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, 2], [0, 2], [0, 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, 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, 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], [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;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 1]]}, {&#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, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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], [3, 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;, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], 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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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 1], [4, 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], &#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, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#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], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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, 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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.tiling&#34;, &#34;comb_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;: [[0, 1], [0, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;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, 3], [4, 3], [5, 2]], [[1, 1], [2, 0], [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;: [[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], &#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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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1], [3, 1], [3, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 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[2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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, 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[2, 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;: [[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, 1, 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&#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 0]]}, {&#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, 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, 1], [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, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, 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1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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;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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 4], [5, 3]], [[1, 2], [2, 0], [2, 1], [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, 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, 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], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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[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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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], &#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], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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], [3, 3], [4, 2]], [[1, 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;: [[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], &#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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 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&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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], [0, 1], [0, 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], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[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, 2], [0, 3], [4, 3], [5, 2]], [[1, 1], [2, 0], [2, 1], [3, 1]]]}}, {&#34;class_module&#34;: 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1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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, 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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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;, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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], 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 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&#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;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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, 1]]}, {&#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;: [[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, 1, 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&#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[0, 1], [0, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;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, 2], [4, 3], [5, 2]], [[1, 1], [2, 0], [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;: [[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], &#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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 3]]}, {&#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;: [[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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], [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;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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;: [[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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#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, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;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], &#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], &#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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#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], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#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], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#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;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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], &#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], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#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, 1], [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, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [3, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 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, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 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[[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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;: [[2, 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], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 1]]}, {&#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 0]]}, {&#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, 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, 1], [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, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, 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1], [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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 2], [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;: [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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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;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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 4], [5, 3]], [[1, 2], [2, 0], [2, 1], [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, 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, 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], &#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], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#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, 1], [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, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], 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&#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 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], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;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;: [[1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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, 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, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[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, 0, 1], &#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, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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], [3, 3], [4, 2]], [[1, 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;: [[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]]}, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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;: [[1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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], [0, 1], [0, 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], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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;: [[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, 2], [0, 3], [4, 3], [5, 2]], [[1, 1], [2, 0], [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;: [[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, 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], &#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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#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, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#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, 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;: [[3, 4]]}, {&#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], &#34;pos&#34;: [[1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, 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2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 3], [0, 4], [3, 4], [4, 3]], [[1, 0], [1, 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;: [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, 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], &#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], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], 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[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2]]}, {&#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;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#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, 2], [2, 1], [2, 1]]}, 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4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 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], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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], [0, 1], [0, 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], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;: [[2, 0]]}, {&#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, 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, 1], [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, 2], [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, 1], [1, 2], [1, 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;: [[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, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 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, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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, 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;: [[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, 2], [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, 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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 2], [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;: [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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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, 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, 3], [0, 4], [4, 4], [5, 3]], [[1, 2], [2, 0], [2, 1], [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, 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;: [[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, 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, 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;: [[1, 3], [1, 3]]}, {&#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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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], [0, 4], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#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, 4], [0, 4], [0, 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], [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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#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], [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;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#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;: [[1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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, 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, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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]]}], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#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, 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, 3], [0, 5]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;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, 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, 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;: [[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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 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;: [[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, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[0, 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;: [[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, 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;: [[0, 3], [0, 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;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 2], [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, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 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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;: [[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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], 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[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;: [[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, 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[[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#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, 3], [0, 5], [1, 2], [2, 1], [3, 0], [5, 0], [5, 1], [5, 2]], [[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, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, 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[[0, 1], [0, 2], [0, 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, 4], [0, 3]]}, {&#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, 3], [0, 4], [0, 4]]}, {&#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, 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, 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, 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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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0], [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, 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;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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, 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;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 1], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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;: [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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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], &#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, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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.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], &#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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], 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0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [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;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#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], [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], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 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;: [[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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#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;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#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], [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, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#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, 3], [0, 3], [0, 3]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#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, 2], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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], 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[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[0, 1], [0, 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, 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;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [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;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [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], [1, 1], [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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#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], [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], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#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], [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], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 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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;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;: 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[[2, 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.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, 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;: 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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;: [[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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#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], [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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[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, 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;: [[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, 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], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1], [3, 1]]}, {&#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], [3, 1], [3, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#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, 0], [3, 2], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 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[[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}], &#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, 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.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], [2, 1], [3, 0], [4, 0], [4, 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;: [[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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#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], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 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, 1], [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;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2], [4, 2]]}], &#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#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, 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, 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;: [[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], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#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, 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, 1], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#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, 1], [3, 0]]}, {&#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], [3, 1], [3, 1], [3, 1]]}, {&#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, 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, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1], [3, 1]]}, {&#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], [3, 1], [3, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 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[[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#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, 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, 1], [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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [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;: [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;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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;: [[2, 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, 4]]}, {&#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], &#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, 3]]}, {&#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;: [[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;: [[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, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#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, 1], [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, 3], [0, 3], [4, 3]]}, {&#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;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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;: [[2, 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[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, 2]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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.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], [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, 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;: [[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], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}], &#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, 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.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], [2, 1], [3, 0], [4, 0], [4, 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;: [[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]]}, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#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, 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;: [[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]]}, 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1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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, 1], [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, 2], [1, 2]]}, 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{&#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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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, 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;: [[0, 2], [0, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[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;: 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, 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, 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;: [[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, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#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]]}, 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1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#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;: [[2, 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, 4]]}, {&#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], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[0, 2], [0, 2]]}, {&#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;: 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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, 2], [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;: [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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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;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, 3], [3, 4], [4, 3]], [[1, 2], [2, 0], [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, 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, 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;: [[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, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#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, 1], [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, 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;: [[2, 0], [2, 2], 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[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: 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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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 0]]}, {&#34;patt&#34;: 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[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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, 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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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[[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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, 1], [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;: [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, 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, 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, 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, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#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, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 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[0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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&#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, 4]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 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;: [[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, 1], [2, 2]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 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, 4]]}, {&#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], &#34;pos&#34;: [[1, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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], [0, 1], [0, 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], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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, 1], [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, 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], [1, 2], [1, 2], [1, 2]]}, {&#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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#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, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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, 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;: [[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, 2], [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, 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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 2], [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;: [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, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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.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], [3, 4], [4, 3]], [[1, 2], [2, 0], [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, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 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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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 1], &#34;pos&#34;: [[0, 2], [0, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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;: [[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], &#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 3]]}], [{&#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;: [[1, 0]]}, {&#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;: [[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;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, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [3, 2], [4, 1]], [[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, 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, 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, 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;: [[4, 4]]}, {&#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;: [[0, 1], [0, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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[[3, 4]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], 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{&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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], 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;: [1, 0], &#34;pos&#34;: [[0, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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[[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;: [[2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], 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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, 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], [1, 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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 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]]}], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;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], 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&#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.tiling&#34;, &#34;comb_class&#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;: [[0, 1], [4, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 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], [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], [3, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 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], [3, 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], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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], [3, 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, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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.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, 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;: [[1, 0], [1, 0]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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;: [[4, 1], [4, 1], [4, 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;: [[4, 1], [4, 1], [4, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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;: [[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], [4, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 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], [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], [3, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 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], [3, 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], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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], [3, 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, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;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], [3, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;, 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{&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;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;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;strategy&#34;: {&#34;class_module&#34;: 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[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;: [[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], [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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 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&#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, 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], [3, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, 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[[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 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[[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;: [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], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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], [2, 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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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;: [[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, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;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], [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;: [[1, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 0], &#34;pos&#34;: [[0, 0], [3, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[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;: [[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, 0, 1], &#34;pos&#34;: [[3, 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[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;: [[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, 0, 1], &#34;pos&#34;: [[3, 0], [3, 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], [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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 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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, 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;: [[0, 1], [4, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 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, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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], [3, 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, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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.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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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], [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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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;: [[1, 1], [1, 1], [1, 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;: [[1, 1], [1, 1], [1, 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;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], [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;: [[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, 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;: [[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, 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, 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;: [[1, 0], [1, 0]]}, {&#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;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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;: [[4, 1], [4, 1], [4, 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;: [[4, 1], [4, 1], [4, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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;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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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, 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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;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;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], 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&#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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, 0], [3, 0], [3, 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;: [[3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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]]}], 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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;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], [1, 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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: 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{&#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;: [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;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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;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], [1, 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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 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;: [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, 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;: [[1, 0], [1, 0], [1, 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;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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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;: [[1, 1], [1, 1], [1, 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;: [[1, 1], [1, 1], [1, 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.tiling&#34;, &#34;comb_class&#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], [3, 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], [3, 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, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[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.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, 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], [3, 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], [3, 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, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[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;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], [2, 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], [2, 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, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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;: [[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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[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;: [[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, 0, 1], &#34;pos&#34;: [[3, 0], [3, 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], [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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;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;: [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;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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.tiling&#34;, &#34;comb_class&#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;: [[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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [5, 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;: [[1, 1], [5, 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;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 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;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 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;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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.tiling&#34;, &#34;comb_class&#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;: [[0, 1], [1, 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;: [[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], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 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;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 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], [4, 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], [4, 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], [4, 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], [2, 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, 0, 1], &#34;pos&#34;: [[5, 1], [5, 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], [4, 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], [4, 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], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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], [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;: [[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, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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.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;: [[3, 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, 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, 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;: [[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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [5, 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;: [[1, 1], [5, 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;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 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;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 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;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [4, 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;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 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;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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, 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, 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;: [[0, 0], [0, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 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;: [[4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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], &#34;pos&#34;: [[0, 0], [0, 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;: [[1, 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.tiling&#34;, &#34;comb_class&#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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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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;: [[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;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;, 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2]], [[1, 0], [2, 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, 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;: [[0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], 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[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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;: [[0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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]], [[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;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], 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[{&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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], [2, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], 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{&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[2, 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, 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;assumptions&#34;: []}, &#34;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;: [[2, 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;: [[1, 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;: [[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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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;: [[1, 0], [1, 0]]}, {&#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], [2, 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;: [[2, 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;: [[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;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;: [[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], [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], [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;: [[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.tiling&#34;, &#34;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;: [[1, 0], [1, 0]]}, {&#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], [2, 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;: [[2, 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;: [[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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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;: [[2, 1], [2, 1]]}, {&#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, 0, 1], &#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;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;: [[1, 0], [1, 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], [0, 0], [0, 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;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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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;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;: 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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;: [[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], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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;: [[0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [[0, 1], [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, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], 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&#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, 1], &#34;pos&#34;: [[0, 0], [0, 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;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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3]], [[3, 4], [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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[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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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;: [[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, 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;: [], &#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;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[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, 2, 0], &#34;pos&#34;: [[3, 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;: [[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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 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;: [[2, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[2, 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;: [[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, 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, 2, 0], &#34;pos&#34;: [[1, 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;: 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0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_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;: [1, 2, 0], &#34;pos&#34;: 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0]]}, {&#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, 0], [1, 0]]}, {&#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;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_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;patt&#34;: [0], &#34;pos&#34;: [[0, 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;, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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], [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;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#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;: [[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, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], 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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;: [[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;: [[1, 0], [1, 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], [0, 0], [0, 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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#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;: [[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;: [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;: [[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], [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;: [[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;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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;: [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;: [[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], [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;: [[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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [[2, 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], [1, 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;: [[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;: [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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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;: [[0, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 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;: [], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 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], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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], [1, 1], [4, 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], [1, 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], [3, 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;: [[1, 1], [1, 1], [1, 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], [1, 1], [4, 1]]}, 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&#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 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;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 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], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 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;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 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;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 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], [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.tiling&#34;, &#34;comb_class&#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;: [[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;: [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], [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;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_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;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 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], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 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], [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;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;: [[3, 0], [3, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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], [1, 1], [4, 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], [1, 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], [3, 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;: [[1, 1], [1, 1], [1, 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], [1, 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], [3, 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;: [[1, 1], [1, 1], [1, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], 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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, 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;: [[3, 0], [3, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;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;: [[2, 0], [2, 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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: 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[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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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]]}]], 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&#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 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;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 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;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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;: [[0, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], 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0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 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;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [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;: [[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;: [], &#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;: [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;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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;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_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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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;: [[0, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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[{&#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;: [], &#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#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], [3, 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;: [[1, 1], [1, 1], [1, 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], [1, 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], [3, 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;: [[1, 1], [1, 1], [1, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 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[[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 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;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 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], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 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;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 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;: [[0, 1], [3, 1], [3, 1], [4, 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;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 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], [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.tiling&#34;, &#34;comb_class&#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;: [[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;: [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], [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;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_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;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 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, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 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, 0], [0, 0], [1, 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, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 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;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;: [], &#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, 0, 1], &#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.tiling&#34;, &#34;comb_class&#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;: [[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, 2, 0], &#34;pos&#34;: [[3, 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;: [[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;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, 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;: [[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, 2, 0], &#34;pos&#34;: [[3, 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;: [[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;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], 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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], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 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;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 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], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 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], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 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], [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;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;: [[3, 0], [3, 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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 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.tiling&#34;, &#34;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;: [[3, 0], [3, 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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;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;: [[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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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;: [[3, 1], [3, 1]]}, {&#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;: [[1, 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, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 1], [2, 1], [3, 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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 1], [2, 1], [2, 1], [3, 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;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;: [[2, 0], [2, 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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 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.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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[2, 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;: [[1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 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;: [], &#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;: [[2, 1], [2, 1]]}, {&#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, 0, 1], &#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.tiling&#34;, &#34;comb_class&#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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 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], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[3, 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.tiling&#34;, &#34;comb_class&#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;: [[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;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_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, 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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 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], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[3, 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;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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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;: [[2, 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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 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], [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], [1, 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], [2, 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;: [[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], [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], [2, 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;: [[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], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 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;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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], [3, 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;: [[0, 0], [2, 0], [2, 0], [3, 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;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, 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&#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 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;: [[0, 1], [4, 1], [4, 1], [5, 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;: [[1, 1], [4, 1], [4, 1], [5, 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;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 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;: [[0, 1], [4, 1], [4, 1], [5, 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;: [[1, 1], [4, 1], [4, 1], [5, 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;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 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;: [[0, 1], [4, 1], [4, 1], [5, 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;: [[1, 1], [4, 1], [4, 1], [5, 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;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], &#34;pos&#34;: [[3, 1]]}, {&#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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 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], [2, 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], [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, 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;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;: [[3, 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, 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, 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]]}, 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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;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;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 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], [3, 0]]}, 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[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 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;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;: [], &#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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}], &#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[0, 1], [0, 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;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_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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, 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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, 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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [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;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 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, 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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [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, 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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [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;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [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;: [], &#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, 0]]}, {&#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, 2], [1, 3], [1, 2]]}, {&#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, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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]]}, 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0], [1, 2]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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], &#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, 0], [0, 0], 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;, 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&#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, 1], [0, 2], [0, 1]]}, {&#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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#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, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#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, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#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, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#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, 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, 3], [1, 4], [1, 3]]}, {&#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, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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;: [], &#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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#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, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#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, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], 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{&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: 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3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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, 2]], [[1, 0], [1, 1], [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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 3], [0, 0]]}, {&#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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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, 2], [0, 2]]}, {&#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, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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.tiling&#34;, &#34;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, 3], [0, 3]]}, {&#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, 3], [0, 0]]}, {&#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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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, 0], [0, 0]]}, {&#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, 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, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;patt&#34;: [2, 1, 0], 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2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;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;: 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[[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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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], &#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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [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;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 3], [0, 0]]}, {&#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, 2, 0], &#34;pos&#34;: [[0, 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[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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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, 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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 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, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [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;: [[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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#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, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#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, 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, 3], [1, 4], [1, 3]]}, {&#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, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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;: [], &#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, 2]]}, {&#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, 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;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [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;: [[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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [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;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [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, 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, 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;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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;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, 3], [1, 2]]}, {&#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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1]]}, {&#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, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 1]]}, {&#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;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;: [[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;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], 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{&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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.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;: [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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#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, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#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, 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;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;, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 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], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#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, 5], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#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, 5], [1, 4], [1, 4], [1, 4]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 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;: [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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#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;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#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, 1], [0, 2]]}, {&#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, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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;requirements&#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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [1, 4], [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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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;: [[1, 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;: [[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;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[2, 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;: [[1, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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], [3, 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;: [[3, 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;: [[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.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, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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;: [[2, 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;: [[1, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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;: [[1, 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;: [[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], [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;: 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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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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], [2, 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;: [[2, 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;: [[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]]}]], 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0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#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, 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;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, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 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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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [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, 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[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, 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;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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [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, 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, 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, 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;assumptions&#34;: []}, &#34;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, 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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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;: [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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#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, 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, 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;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 1], [0, 0], [0, 0]]}, {&#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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;assumptions&#34;: []}, &#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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[2, 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;: [[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, 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, 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;: [[2, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 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], [3, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 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;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;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[2, 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;: [[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, 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, 2, 0], &#34;pos&#34;: [[1, 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;: [[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], [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, 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;: [[2, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 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], [3, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 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;assumptions&#34;: []}, &#34;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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [2, 0, 1], &#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;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;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, 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;: 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&#34;tilings.tiling&#34;, &#34;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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [2, 0, 1], &#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;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;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], &#34;pos&#34;: [[0, 0], [0, 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;: [[1, 0], [1, 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;: [2, 0, 1], &#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;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;assumptions&#34;: []}, &#34;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, 2, 0], &#34;pos&#34;: [[1, 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;: [[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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [2, 0, 1], &#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;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;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], [0, 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;: [[1, 0], [1, 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;: [2, 0, 1], &#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;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;assumptions&#34;: []}, &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[3, 1], [3, 1], [3, 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;: [[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;: [[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;: [[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;: [[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], [3, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 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;: [[3, 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, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 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;: [[4, 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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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;: [[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;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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 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;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 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], [4, 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], [4, 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;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 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;: [[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;: [[1, 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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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;: [[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;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;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 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, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[3, 1], [3, 1], [3, 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;: [[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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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;: [[2, 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;: [[2, 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;: [[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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], [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], &#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;: [[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], [3, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 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;: [[3, 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, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 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;: [[4, 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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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;: [[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;assumptions&#34;: []}, &#34;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;: [[1, 0], [1, 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], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 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;: [[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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;: [[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;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, 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], &#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;: [[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, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 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;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 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], [4, 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], [4, 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;: 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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;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;: [[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], [1, 0], [2, 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], [2, 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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 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&#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [2, 1], [4, 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;: [[1, 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;: [[2, 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;: [[2, 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;: [[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;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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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;: [[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, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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], [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, 0], [3, 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;: [[1, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 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[[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, 1], &#34;pos&#34;: [[0, 0], [0, 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, 2, 1], &#34;pos&#34;: [[0, 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;: [[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;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 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&#34;pos&#34;: [[1, 0], [2, 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, 0], [3, 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;: [[1, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;: [[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;: [[3, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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&#34;pos&#34;: [[2, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;assumptions&#34;: []}, &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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.tiling&#34;, &#34;comb_class&#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;: [[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, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 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;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 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], [4, 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], [4, 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;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 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;: [[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;: [[1, 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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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;: [[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;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;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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;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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;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], [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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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;: [[2, 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;: [[2, 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;: [[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;: [], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[3, 1], [3, 1], [3, 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;: [[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;: [[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;: [[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], 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[{&#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;: [], &#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;: [[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;: 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&#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;: [[1, 0], [1, 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;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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;: [[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;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;: [[1, 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;: [[2, 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;: [[2, 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;: [[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.tiling&#34;, &#34;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;: [[1, 0], [1, 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;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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;: [[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;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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;: [[2, 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;: [[2, 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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[1, 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.tiling&#34;, 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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;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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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;: [[1, 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{&#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], [3, 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, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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;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;: [[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, 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;: [[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], [3, 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, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 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;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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;assumptions&#34;: []}, &#34;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;: [[1, 0], [1, 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;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 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;: [[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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;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, 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;: [[1, 0], [1, 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;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 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;: [[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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;assumptions&#34;: []}, &#34;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;: [[1, 0], [2, 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;: [[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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;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;: [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, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;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], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;assumptions&#34;: []}, &#34;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;: [[1, 0], [1, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;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;: [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, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 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;: [[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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;: [[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;: [], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[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;: [[2, 1]]}], [{&#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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;: [[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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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, 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;: [], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[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;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[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;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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;: [[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;: [[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], [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, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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;: [[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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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, 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;: [[1, 0], [2, 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;: [[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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;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], [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;: [[1, 0], [1, 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;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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;: [[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;: [[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], [0, 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], [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;: [[2, 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;: [[2, 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;: [[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], 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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;: [[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;: [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], [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;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 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[[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [[2, 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;: [[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, 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], &#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;: [[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;: [[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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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;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, 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;: [[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;: [[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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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;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;: [[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;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;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, 1], [2, 1], [4, 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;: [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], [1, 0], [2, 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], [2, 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;: [[2, 0], [2, 0], [3, 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], [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, 0], [3, 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;: [[1, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;: [[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;: [], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[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;: [[2, 1]]}], [{&#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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;: [[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], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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, 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], &#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;: [[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;: [[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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [5, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[5, 1], [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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], &#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;: [[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;: [[4, 0], [4, 0]]}, {&#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;: [[4, 0], [4, 0]]}, {&#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], [1, 1], [5, 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], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [5, 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;: [[1, 1], [3, 1], [5, 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;: [[2, 1], [3, 1], [5, 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, 1], [5, 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], [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;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [5, 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;: [[2, 1], [3, 1], [5, 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, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[5, 1], [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;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;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 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;: [[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;: [[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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [5, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[5, 1], [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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 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&#34;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;: [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, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 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;: [[2, 1]]}], [{&#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[3, 1], [3, 1], [3, 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;: [[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;: [[1, 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;: [], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 1], &#34;pos&#34;: [[0, 1], [0, 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, 0], &#34;pos&#34;: [[2, 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;: [[3, 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;: [[3, 1], [3, 1], [3, 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;: [[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;: [[1, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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;: [[2, 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;: [[2, 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;: [[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], [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;: [[1, 0], [1, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;assumptions&#34;: []}, &#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;: [], 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&#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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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.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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 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;: [[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;: [], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[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;: [[2, 1]]}], [{&#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.tiling&#34;, &#34;comb_class&#34;: 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1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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, 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;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: 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{&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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, 0]]}, {&#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;: [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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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, 0], [1, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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;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, 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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 0], [1, 0]]}, {&#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;: [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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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], 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[1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;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, 0]]}, {&#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;: [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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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, 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, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;assumptions&#34;: []}, &#34;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, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0, 1], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 1]]}, {&#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, 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, 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, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 0]]}, {&#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;: [[1, 1], [1, 1]]}, {&#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, 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;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, 0]]}, {&#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, 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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 2], [0, 2], [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, 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;: 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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, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4]]}, {&#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, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], 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&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], 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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, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#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, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [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, 0], [1, 0], [1, 0]]}, {&#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, 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;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, 3], [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, 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, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#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, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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, 2], [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, 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, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#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, 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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [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, 0], [1, 0], [1, 0]]}, {&#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, 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;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [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, 2], [0, 2], [0, 2]]}, {&#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, 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, 2], [0, 2], [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, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: 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[[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, 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, 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, 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, 2], [0, 2], [0, 2]]}, {&#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, 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, 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, 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, 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, 1], [0, 1], [0, 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[1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#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, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 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, 3], [1, 1], [1, 0]]}, {&#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, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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;: [], &#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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#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, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#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, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2]]}, {&#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;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;: [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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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, 2], [0, 3], [0, 2]]}, {&#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, 1], [0, 1], [0, 1]]}, {&#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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#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, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 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, 3], [1, 1], [1, 0]]}, {&#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, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 1], [0, 1], [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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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, 0]]}, {&#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, 0]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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, 2]], [[1, 0], [1, 1], [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, 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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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, 2], [0, 3], [0, 2]]}, {&#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, 1], [0, 1], [0, 1]]}, {&#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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;: [1, 0], &#34;pos&#34;: [[0, 2], [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, 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, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#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, 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, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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, 2], [0, 3], [0, 2]]}, {&#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, 1], [0, 1], [0, 1]]}, {&#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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 1], [0, 1], [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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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, 0]]}, {&#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, 0]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [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, 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, 1], [0, 0], [0, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 1], [0, 1], [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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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, 0]]}, {&#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, 0]]}, {&#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], 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1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: [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]]}, 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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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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, 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, 1], 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[0, 2], [0, 2]]}, {&#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;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], 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[0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;: 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[[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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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, 3], [0, 3], [0, 3]]}, {&#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, 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, 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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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;: 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&#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;: [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, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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, 3], [0, 3], [0, 3]]}, {&#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, 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, 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;assumptions&#34;: []}, &#34;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, 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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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, 3], [0, 3], [0, 3]]}, {&#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, 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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [[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, 2], [0, 0]]}, {&#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, 1], [0, 0], [0, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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;: [[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, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [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;: [[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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#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, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#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, 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, 3], [1, 1], [1, 0]]}, {&#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, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1]]}, {&#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;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;: [], &#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, 2]]}, {&#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, 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, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [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;: [[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, 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, 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], 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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]], [[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, 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, 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, 2], [1, 2], [1, 2]]}, {&#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, 2], [1, 2], [1, 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;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;: [[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, 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, 1], [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, 1], [0, 1], [0, 1]]}, {&#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, 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, 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, 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;: 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[3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1]]}, {&#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;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;: [[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;: 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0]]}, {&#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, 0]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#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;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.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;: [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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[1, 1], [1, 1]]}, {&#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, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [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, 4], [1, 4], [1, 4]]}, {&#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, 4], [1, 4], [1, 4]]}, {&#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, 4], [1, 4], [1, 4]]}], &#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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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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, 2]], [[1, 0], [1, 1], [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;: [[0, 5]]}, {&#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, 0]]}, {&#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;: [[1, 1], [1, 1]]}, {&#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, 5], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 4], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, 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0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4], [1, 4]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 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;: [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, 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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#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;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3]]}, {&#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, 2], [0, 2], [0, 2]]}, {&#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, 1], [0, 2]]}, {&#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, 2]]}, {&#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, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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;requirements&#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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [1, 4], [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, 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], 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[[0, 2], [0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 0], [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;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;: [[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;: [[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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: [[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], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;: [[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;: [[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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 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], [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;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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;: [[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, 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, 2], [0, 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], [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, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#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, 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, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 2], [1, 2], [1, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [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], &#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;: [[0, 2], [0, 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], [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, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#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, 2], [2, 0]]}, {&#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], [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;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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], [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, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#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, 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, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 2], [1, 2], [1, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [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;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;: [[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;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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], [1, 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;: [[0, 0], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2], [3, 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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2], [3, 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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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], [3, 2], [3, 2], [3, 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;: [[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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 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;: [[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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 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, 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;: [[0, 2], [0, 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], [2, 2], [2, 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;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 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;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 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;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 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;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 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, 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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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]]}, 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[[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;: 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, 0]]}, {&#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, 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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#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, 0], [2, 0], [2, 0], [2, 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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#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;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0], [1, 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;: [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, 3], [0, 3], [0, 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], [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, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [3, 0], [3, 0], [3, 0]]}, {&#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, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 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[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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;: 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1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], 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2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 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, 0], [0, 2], [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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 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[[2, 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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 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, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 0], [0, 3], [0, 0], [0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;: 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;: [[1, 1], [1, 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;: [[2, 0], [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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 1]]}, {&#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], [4, 1], [4, 0]]}, {&#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, 4], [0, 4], [0, 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;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#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, 1], [4, 1], [4, 1], [4, 1]]}, {&#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, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [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, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[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;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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, 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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#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, 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, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 2], [1, 2], [1, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [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;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, 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, 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;: [[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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#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, 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, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2], [1, 2], [1, 2]]}, {&#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], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 2], [1, 2], [1, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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[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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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], [2, 0], [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, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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, 1]]}], [{&#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;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, 0, 1], &#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, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;, 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0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 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, 2], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 2], [0, 2], [0, 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, 2], [0, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [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, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#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, 3, 2], &#34;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], [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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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, 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;: 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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;: [[2, 0], [2, 0], [3, 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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 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, 3], [0, 3], [0, 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;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 2, 3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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;: [0, 4, 3, 2, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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], 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], 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[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;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]]}, 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;, 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[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 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, 2], [0, 2], [0, 2], [3, 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, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [[2, 0], [2, 0]]}, {&#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, 0], [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, 2], [0, 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;: [[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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 2], [0, 2], [0, 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, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: 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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, 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;: 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3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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], &#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;: [[1, 0], [1, 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;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 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], [0, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 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3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;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.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, 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, 1]]}, {&#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], 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [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], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;: [[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;: [[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;: [[0, 0], [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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [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;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1]]}, {&#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;: [[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, 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;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, 1], [0, 1]]}, {&#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;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;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.symmetry&#34;, &#34;strategy_class&#34;: &#34;TilingInverse&#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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[3, 1]]}, {&#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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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, 0, 1], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: 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1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 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, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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], &#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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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;: [[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;: [[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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3, 2], &#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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, 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, 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], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 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;: [[0, 0], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [4, 2], [4, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#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, 0, 1], &#34;pos&#34;: [[3, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2], [3, 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], [3, 2], [3, 2], [3, 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], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 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;: [[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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 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[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [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], 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0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 3], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 3], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3], [5, 0], [5, 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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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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;: [[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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 2], [2, 2], [2, 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.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, 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], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], 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[0, 3, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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, 2, 3, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: 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[[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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], 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2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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.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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], 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&#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;: 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, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;: [[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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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], [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;: [1, 2, 0], &#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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [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;: [[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;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [3, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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], &#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]]}, 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&#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, 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;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [[2, 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;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [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, 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, 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, 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], [1, 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;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#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], [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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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], &#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;: 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&#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, 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, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[3, 1]]}, {&#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, 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;: [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, 1], [0, 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;: [[1, 0], [1, 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;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[3, 1]]}, {&#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, 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, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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;: [[1, 0], [1, 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;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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;: [[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;: [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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3, 2], &#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 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, 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, 1], [1, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 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], [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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 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], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[4, 2]]}, {&#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], &#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, 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, 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;: [[1, 1], [1, 1]]}, {&#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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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&#34;pos&#34;: [[5, 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], &#34;pos&#34;: [[0, 2]]}, {&#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], 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0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[[3, 3], [3, 3], [3, 3]]}, {&#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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [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;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, 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{&#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;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[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, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, 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[[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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;: [[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;: [[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;: [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, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#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, 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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3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[0, 2]]}], [{&#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, 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, 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, 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, 1], [1, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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;: [[2, 0], [3, 1], [3, 1]]}, {&#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], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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]]}, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 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, 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;: [[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;: 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0], [1, 0], [1, 0]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[1, 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, 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;: [[1, 1]]}, 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[0, 3, 2, 1], &#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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 3]]}], [{&#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;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, 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, 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;: [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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#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, 2], [3, 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], [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, 1], [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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3, 2], &#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], [0, 3], [4, 3]]}, {&#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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 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, 2, 3, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;: [[0, 3]]}], [{&#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;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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 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], [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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 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, 1], [0, 1], [0, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [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, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 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], [0, 1]]}, {&#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], [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;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 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, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [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], [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, 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&#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, 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, 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, 0], [4, 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;: 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&#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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;: [[2, 0], [3, 0], [3, 0], [3, 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;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#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, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[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, 2, 3, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[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;: [0, 4, 3, 2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[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;Rule&#34;, &#34;comb_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, 1, 3, 2], &#34;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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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]]}, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.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;: [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#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], [3, 2], [3, 2], [3, 2]]}, {&#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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 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;: 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, 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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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], [1, 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;: [[0, 0], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2], [3, 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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2], [3, 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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#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], [3, 2], [3, 2], [3, 2]]}, {&#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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#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], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 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;: [[1, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 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], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 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, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}, {&#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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}, {&#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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[1, 0], [1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 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;: &#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;: [[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, 0], [0, 0], [0, 1]]}, {&#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, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 0], [0, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_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, 0]]}, {&#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;: [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;: [[0, 1], [0, 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;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [3, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [0, 1]]}, 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[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;, 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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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], 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{&#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;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;: [[1, 0]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;: 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[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], [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;: [[4, 0], [4, 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;: [[4, 0], [4, 1], [4, 1]]}, {&#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, 4], [0, 4], [0, 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;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 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, 1, 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1], [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;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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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&#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;: [[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, 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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [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;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [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;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#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, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 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;: [[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, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [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;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [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;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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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3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [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, 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, 2]]}, {&#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;: [[2, 0], [2, 3]]}, {&#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;: [[1, 2], [1, 2]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 2]]}, {&#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;: [[2, 0], [2, 3]]}, {&#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;: [[1, 2], [1, 2]]}, {&#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, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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, 3], [0, 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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#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, 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;: [[1, 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;: [[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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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], &#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, 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, 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, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#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, 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, 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;: [[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, 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, 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, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#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;: [[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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], 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4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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;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;: [[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;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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&#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, 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;: 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [0, 0], [0, 0], [0, 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, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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, 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, 0], [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, 2], [0, 2]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#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, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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], [1, 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], [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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], 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1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 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, 0]]}, {&#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, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 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, 0]]}, {&#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, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#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, 2], [3, 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], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 0]]}, {&#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, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 0]]}, {&#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, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], 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&#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [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, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: 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1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_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]]}, 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{&#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], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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[[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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}}, 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[[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;: [[1, 0], 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[[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], 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&#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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2], [0, 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, 0]]}, {&#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], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 2], [0, 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, 0]]}, {&#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], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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;: [[0, 2], [0, 2]]}, {&#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;: [[3, 2], [3, 2]]}, {&#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], [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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[0, 2]]}], [{&#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], &#34;pos&#34;: [[2, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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, 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, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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;: [[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], &#34;pos&#34;: [[3, 0]]}, {&#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, 2], [0, 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;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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, 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, 0], [0, 0], [1, 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;: [[1, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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;: [[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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [1, 0]]}, {&#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, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[4, 1]]}], [{&#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;: [[1, 1]]}, {&#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;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], 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[1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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], &#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, 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, 0], [0, 0]]}, {&#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], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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_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;: 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3, 1], &#34;pos&#34;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], 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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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;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.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]]}, 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3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [5, 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, 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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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], &#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, 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, 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;: [[5, 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;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#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, 4], [0, 4], [0, 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, 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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#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, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#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;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, 1], &#34;pos&#34;: [[0, 0], [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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#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;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#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, 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, 2]]}], &#34;indices&#34;: 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3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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, 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&#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#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;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 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[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 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;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 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;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [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, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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], [3, 0], [3, 0], [3, 0]]}, {&#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, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [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, 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, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;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, 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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 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;: [[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, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#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, 1]]}, {&#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;: [[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, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[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;Rule&#34;, &#34;comb_class&#34;: {&#34;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, 1]]}, {&#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;: [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;: [[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, 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, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;: [[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, 3]]}, {&#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, 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;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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, 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, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 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], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}], [{&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: 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, 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;: [[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, 3]]}, {&#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, 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;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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, 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, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 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], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}], [{&#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, 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;: [[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;: [[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, 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], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#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, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 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], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}], [{&#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;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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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;: [[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, 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], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#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, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 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], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}], [{&#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;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;: [[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, 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, 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], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 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;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#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, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 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, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [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, 1, 2], &#34;pos&#34;: [[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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [[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, 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], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#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, 0]]}, {&#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, 3], [0, 3], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [[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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 3], [0, 3], [0, 3], [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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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;: [[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, 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[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[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;: [[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;: [[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, 0], [0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_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, 0]]}, {&#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], [3, 1]]}, {&#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;: [[0, 1], [0, 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;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [3, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;: [[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]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#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;, 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0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 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;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;: [[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;, 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0], [3, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [5, 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;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, 1], &#34;pos&#34;: [[0, 0], [0, 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, 1], [0, 1], [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, 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0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 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;, 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0], [0, 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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#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], [3, 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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;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, 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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#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], [3, 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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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;: [[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, 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, 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;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, 0], [1, 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;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.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;: [[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, 2], [0, 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, 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;: [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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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, 0]]}], [{&#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;: [[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;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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, 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;: [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;: [[0, 0], [0, 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;: [[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, 3, 2], &#34;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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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], [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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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, 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;: [[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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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], [3, 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;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;, 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1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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, 4]]}], [{&#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;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#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;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, 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;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#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, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [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], &#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;: [[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;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [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, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 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, 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{&#34;patt&#34;: [0, 4, 3, 2, 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;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 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, 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], [2, 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], [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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 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4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [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;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, 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2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [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;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#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, 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, 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;: [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], 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3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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[{&#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], &#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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, 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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;: [0, 4, 3, 2, 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;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#34;patt&#34;: [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_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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: 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[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, 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;: [[4, 4]]}, {&#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;: [[0, 1], [0, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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;: [[3, 4]]}, {&#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;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;: [[2, 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;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}], [{&#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;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, 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;: 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2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [[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, 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, 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;: [[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;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 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;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#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, 4], [0, 4], [0, 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;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#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], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#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, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#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], &#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, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [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, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 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, 4], [0, 4], [0, 2]]}, {&#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;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#34;patt&#34;: [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_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;Rule&#34;, &#34;comb_class&#34;: {&#34;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, 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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, 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, 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;: [[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], [3, 2]]}, {&#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, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 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, 2], [0, 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, 1], [2, 0]]}, {&#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, 2], [0, 2], 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&#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, 2]]}, {&#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, 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]]}, 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[[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [1, 2]]}, {&#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, 0], [3, 2], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 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, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 2], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[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;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;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#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], 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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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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;: [[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, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#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, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, 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[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#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, 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, 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, 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, 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;: [[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, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 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2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#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, 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, 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, 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, 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;: [[5, 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;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 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&#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#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;: 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[1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#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], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 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], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: 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, 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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#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], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 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;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 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], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#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;: [[2, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 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;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 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], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 3]]}, {&#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, 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, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 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;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 3, 4, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 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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, 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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#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;: [[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, 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3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [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, 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;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]]}], 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 1]]}], [{&#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;: [[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;: [[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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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, 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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 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&#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;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [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;: [[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, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 0]]}, {&#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, 0]]}, {&#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, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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&#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#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;: [[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;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, 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, 1]]}], [{&#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;: [[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;, 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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, 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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 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, 1], [4, 1]]}, {&#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, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 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[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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;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;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;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [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;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#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;: [[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, 0]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [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, 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;, 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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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 2], [2, 2], [2, 2]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [1, 0], [1, 0], [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], 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1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 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, 3]]}], [{&#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, 4]]}, {&#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;Rule&#34;, &#34;comb_class&#34;: {&#34;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;: [[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, 0], [0, 0], [0, 1]]}, {&#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, 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, 0, 1], &#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, 3, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 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;: [[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, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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;: [[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;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 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;: [[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, 3, 2], &#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], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 2]]}, {&#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 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;: [[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, 3, 2], &#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], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}], [{&#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;: [[1, 0]]}, {&#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;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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;: [[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, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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], [2, 1], [3, 1]]}, {&#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, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 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, 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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 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, 4], [0, 4], [0, 2]]}, {&#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, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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, 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, 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;: [[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, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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], [2, 1], [3, 1]]}, {&#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, 4], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 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, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 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, 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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 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, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#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, 2]]}, {&#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, 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, 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;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 2]]}], [{&#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;: [[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, 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;: [[1, 5]]}, {&#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, 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;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: 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[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 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;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: 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, 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;: [[1, 5]]}, {&#34;patt&#34;: [0], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[4, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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;: [[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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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], [0, 1], [0, 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], [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;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;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], [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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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;: [[0, 0], [0, 0]]}, {&#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, 0], [1, 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;: [[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, 2], [2, 0]]}, {&#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, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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;: [[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;: [[0, 0], [0, 0]]}, {&#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, 0], [1, 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;: [[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, 2], [2, 0]]}, {&#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, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#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, 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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;: [[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, 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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#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, 2], [4, 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], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;: [[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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 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, 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, 1]]}, {&#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;: [[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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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;children&#34;: [{&#34;class_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, 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, 0], [0, 3]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0], [0, 3], [0, 3]]}, {&#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, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 1]]}, {&#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], [0, 1]]}, {&#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], [0, 1]]}, {&#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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 3], [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, 3], [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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;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;: [[0, 1], [0, 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, 1], [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, 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;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [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;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, 2]]}, {&#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, 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;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[4, 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, 1, 2], &#34;pos&#34;: [[1, 0], [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, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#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, 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, 2], [2, 2], [2, 2], [2, 2]]}, {&#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;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#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, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[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, 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, 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;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[4, 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, 1, 2], &#34;pos&#34;: [[1, 0], [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, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2]]}, {&#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, 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, 2], [2, 2], [2, 2], [2, 2]]}, {&#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;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#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, 2], [2, 2], [2, 2], [2, 2]]}, {&#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, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 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&#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;: [[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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#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;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 2], [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, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], 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0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#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;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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], &#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, 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, 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;: [[0, 1], [0, 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], [0, 3], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [3, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [0, 3], [0, 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, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 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, 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, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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;: [[2, 0], [2, 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;: [[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, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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, 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.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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3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [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, 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;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;: [[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;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, 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;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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], &#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, 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, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 4]]}, {&#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;: [[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;: [[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, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 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;: [[0, 3], [0, 4], [2, 4]]}, {&#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], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 1]]}, {&#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], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [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, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#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, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4]]}, {&#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, 3], [0, 3], [0, 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, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 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[0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 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, 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[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [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, 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;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;: [[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;Rule&#34;, &#34;comb_class&#34;: {&#34;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], &#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;: [[1, 1], [1, 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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#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], [0, 2], [0, 2]]}, {&#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;: [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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#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;: [[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, 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, 1], [0, 2], [0, 1], [1, 1]]}, {&#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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 1], [0, 1], [0, 1], [0, 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, 4, 2, 3, 1], &#34;pos&#34;: [[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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;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, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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, 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, 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], [0, 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;: [[3, 2], [3, 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, 3], [2, 1]]}, {&#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;: [[0, 3], [0, 3], [0, 4]]}, {&#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], [0, 4], [0, 4]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 3], [0, 3], [0, 3], [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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}], [{&#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, 2]]}, {&#34;patt&#34;: [0], 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1], &#34;pos&#34;: [[3, 2], [3, 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, 3], [2, 1]]}, {&#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;: [[0, 3], [0, 3], [0, 4]]}, {&#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], [0, 4], [0, 4]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[2, 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;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 3], [0, 3], [0, 3], [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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 1]]}], [{&#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;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: 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1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#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, 3], [0, 3], [5, 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], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], 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4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 1]]}], [{&#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;: [[3, 1]]}], [{&#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;, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], 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4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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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;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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;, 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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, 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;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 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, 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;: [[0, 4], [0, 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;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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, 3], [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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 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, 2], [2, 2], [3, 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, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 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;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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], [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;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 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], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [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;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;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;: [[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;: [[0, 0], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#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, 0], [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;: [[1, 0], [1, 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, 1], [0, 0], [0, 0], [0, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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, 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, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: 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[[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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;, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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;: 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4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 1], [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, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [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, 3]]}], [{&#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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#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;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#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, 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, 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, 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;: [[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, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 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, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#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, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 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], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], 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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, 3]]}], [{&#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, 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, 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;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;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;: [[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]]}, 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5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#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;: 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;, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 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;: [[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, 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, 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], &#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, 2]]}, {&#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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#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, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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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2, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 1]]}, {&#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;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;: [[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;, 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1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 5], [1, 4]]}, {&#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, 4], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#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;: [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, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#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, 5], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#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, 5], [1, 4], [1, 4], [1, 4]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#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;, 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{&#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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#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, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#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, 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;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;: [], &#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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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], 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[[0, 0], [0, 1]]}, {&#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, 1]]}, {&#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, 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, 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;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], 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[[1, 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], &#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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#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], 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&#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;: [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, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#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, 5], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#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, 5], [1, 4], [1, 4], [1, 4]]}], &#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;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#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;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], [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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#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;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#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, 1], [0, 2]]}, {&#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, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2]]}, {&#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;requirements&#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;assumptions&#34;: []}, &#34;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], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#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, 3], [0, 0]]}, {&#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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#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, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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], [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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 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;: [], &#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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 1]]}, {&#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, 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;: [], &#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, 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, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#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, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 4], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#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;: [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, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], 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&#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], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [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, 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[[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, 0]]}, {&#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;: [[1, 1], [1, 1]]}, {&#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, 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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], 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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;: [0, 1], &#34;pos&#34;: [[0, 0], [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, 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;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;: [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, 1]]}, {&#34;patt&#34;: [1, 0], 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&#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], [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, 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;assumptions&#34;: []}, &#34;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;: [0, 1], &#34;pos&#34;: [[0, 0], [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, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;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], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [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, 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, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#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;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;: [], &#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, 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;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 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], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}], &#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, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#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, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 4], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#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;: [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, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 3]]}, {&#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, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, 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[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[5, 1], [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;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], &#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;: [[1, 1], [1, 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], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 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;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 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], [4, 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], [4, 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], [4, 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], [2, 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, 0, 1], &#34;pos&#34;: [[5, 1], [5, 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], [4, 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], [4, 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], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#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;: [[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], [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;: [[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, 0, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;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, 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;: [[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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 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], [2, 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], [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, 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;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]]}, 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1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [5, 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;: [[1, 1], [4, 1], [4, 1], [5, 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;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#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, 1]]}, {&#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;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;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />