02341_02413_02431_20341_20413_20431_24013_24031_24103<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 111, 546, 2764, 14232, 74177, 390290, 2069339, 11041310, 59226496, 319141902, 1726497127, 9372587220, 51039081940, 278717628170, 1525933696743, 8373857048772, 46052877140839, 253783168954160, 1401153683125173, 7749517731034248, 42932308982573170, 238217628235883346, 1323753009269873610, 7366311522210205308, 41046177937316496492, 229005958005742156940, 1279223007853666920452, 7153968523562061392920, 40052217889864523345003, 224472869911574291998612, 1259328892135599839986324, 7071864943870222273255424, 39749418176913525009489223, 223621293601726111653610664, 1259115411069987143308073678, 7095340016137775396404792942, 40014946040939159940596517366, 225839236337236433027093755564, 1275534346415636131439891071780, 7209225528087781407260873813970, 40773448647396871384205738068531, 230753289638894345166211118057248, 1306741672890856955498689899080587, 7404457118866527657991286860771090, 41980640833057511651604177327165894, 238148813666534369533459890334581720, 1351707950144595413161916995049409760, 7676166054441006210556986327492745792, 43613930808165441928980741264538304814, 247923762415005599066990737449251250804, 1409990351758386582545079613885246757882, 8022551475533527052585761644112788450494, 45666832153542871247554740472173718351784, 260060959829448329062067468500153013787482, 1481594993434438057667110081545922027472957, 8444196393172929022922531517648534853282900, 48145565127179393047279817059287769718686626, 274611218636536675103688615448215998755446614, 1566893159831295470875612494444642361350174187, 8943652579831925586541008746159214954881668234, 51067004205033902820914400169100331978933669014, 291683222522927448446202632227203155666480289142, 1666571626148557438814775215242560165843783762028, 9525197919695270097647475806684048219776742690522, 54457500914155953045679313062972026510824921254761, 311437865805250227696741267647852456832432114092926, 1781605757270708216410163737165872656950187622814988, 10194710552206140205309931061076597122655213937783958, 58352307621835957209690430657812082426911123125762485, 334085696277317261130279359792842408879275376740167690, 1913248688841572146880709809502654418719881187357904026, 10959626666214105894918048049702108989147416879921357984, 62795438074400317078152803618684404646413100123358854266, 359886647145731795586256283952905214853152300916603398212, 2063032552935806352778514534891281928648341598510324123848, 11828961922792378916921564749058312299923569518002283864280, 67839865434633241078183940857641136964267247281808647268508, 389151566481694894997408688673082188277330111406056046697192, 2232779317026599553305334642054843923401821109053504024464749, 12813384505492199690447844259116181455534565684631881187224328, 73547998738666906494357377435590183739486306228921783766082468, 422245254400257749467946282429534424458781728511879487609977696, 2424619821457988696874239281933224109593355231675132076770189785, 13925332932668924947147511949689779046748423913352645844867774892, 79992404719536112387491022411927930057112032555619444507478069956, 459590850471232292429263571128229366555210364882699583440287037632, 2641020275183810824395446137933750940070494186676667973135758851764, 15179175217081695638550984987053019514559538684678647507080242904598, 87256759653915390592912181153743619906722177306716557271650521889595, 501675505066682819451564900126555079187949248158689048819280905394552, 2884815940871099741226124356906758524396368235142880261800977553189675, 16591408402818150733622769678772541707890614121339023903309921993679968, 95437028618262121478644661377603201698517594460310734080567225806376424, 549057334890106128661396368141304588105598623747577631083670749858297530, 3159252089688435973630817787537518677343558652619643952109344654649859639, 18180899350045308385936416471086522666189081511596941037601385005435677576<br /><br />








Implicit equation for the generating function in Maple syntax:<br />
(4*x^2-6*x+1)*x^2*F(x)^6-x*(28*x^3-41*x^2+12*x-1)*F(x)^5+(29*x^4-21*x^3-17*x^2+9*x-1)*F(x)^4-2*(x-1)*(-1+5*x)^2*F(x)^3+6*x*(-1+5*x)*(x-1)*F(x)^2-2*(-1+5*x)*(x-1)*F(x)+(-1+5*x)*(x-1) = 0<br /><br />



Implicit equation for the generating function in latex syntax:<br />
\left(4 x^{2}-6 x +1\right) x^{2} F \! \left(x \right)^{6}-x \left(28 x^{3}-41 x^{2}+12 x -1\right) F \! \left(x \right)^{5}+\left(29 x^{4}-21 x^{3}-17 x^{2}+9 x -1\right) F \! \left(x \right)^{4}-2 \left(x -1\right) \left(-1+5 x \right)^{2} F \! \left(x \right)^{3}+6 x \left(-1+5 x \right) \left(x -1\right) F \! \left(x \right)^{2}-2 \left(-1+5 x \right) \left(x -1\right) F \! \left(x \right)+\left(-1+5 x \right) \left(x -1\right) = 0<br /><br />







  
    Recurrence in maple format:<br />
    
      a(0) = 1<br />
    
      a(1) = 1<br />
    
      a(2) = 2<br />
    
      a(3) = 6<br />
    
      a(4) = 24<br />
    
      a(5) = 111<br />
    
      a(6) = 546<br />
    
      a(7) = 2764<br />
    
      a(8) = 14232<br />
    
      a(9) = 74177<br />
    
      a(10) = 390290<br />
    
      a(11) = 2069339<br />
    
      a(12) = 11041310<br />
    
      a(13) = 59226496<br />
    
      a(14) = 319141902<br />
    
      a(15) = 1726497127<br />
    
      a(16) = 9372587220<br />
    
      a(17) = 51039081940<br />
    
      a(18) = 278717628170<br />
    
      a(19) = 1525933696743<br />
    
      a(20) = 8373857048772<br />
    
      a(21) = 46052877140839<br />
    
      a(22) = 253783168954160<br />
    
      a(23) = 1401153683125173<br />
    
      a(24) = 7749517731034248<br />
    
      a(25) = 42932308982573170<br />
    
      a(26) = 238217628235883346<br />
    
      a(27) = 1323753009269873610<br />
    
      a(28) = 7366311522210205308<br />
    
      a(29) = 41046177937316496492<br />
    
      a(30) = 229005958005742156940<br />
    
      a(31) = 1279223007853666920452<br />
    
      a(32) = 7153968523562061392920<br />
    
      a(33) = 40052217889864523345003<br />
    
      a(34) = 224472869911574291998612<br />
    
      a(35) = 1259328892135599839986324<br />
    
      a(36) = 7071864943870222273255424<br />
    
      a(37) = 39749418176913525009489223<br />
    
      a(38) = 223621293601726111653610664<br />
    
      a(39) = 1259115411069987143308073678<br />
    
      a(40) = 7095340016137775396404792942<br />
    
      a(41) = 40014946040939159940596517366<br />
    
      a(42) = 225839236337236433027093755564<br />
    
      a(43) = 1275534346415636131439891071780<br />
    
      a(44) = 7209225528087781407260873813970<br />
    
      a(45) = 40773448647396871384205738068531<br />
    
      a(46) = 230753289638894345166211118057248<br />
    
      a(47) = 1306741672890856955498689899080587<br />
    
      a(48) = 7404457118866527657991286860771090<br />
    
      a(49) = 41980640833057511651604177327165894<br />
    
      a(50) = 238148813666534369533459890334581720<br />
    
      a(51) = 1351707950144595413161916995049409760<br />
    
      a(52) = 7676166054441006210556986327492745792<br />
    
      a(53) = 43613930808165441928980741264538304814<br />
    
      a(54) = 247923762415005599066990737449251250804<br />
    
      a(55) = 1409990351758386582545079613885246757882<br />
    
      a(56) = 8022551475533527052585761644112788450494<br />
    
      a(57) = 45666832153542871247554740472173718351784<br />
    
      a(58) = 260060959829448329062067468500153013787482<br />
    
      a(59) = 1481594993434438057667110081545922027472957<br />
    
      a(60) = 8444196393172929022922531517648534853282900<br />
    
      a(61) = 48145565127179393047279817059287769718686626<br />
    
      a(62) = 274611218636536675103688615448215998755446614<br />
    
      a(63) = 1566893159831295470875612494444642361350174187<br />
    
      a(64) = 8943652579831925586541008746159214954881668234<br />
    
      a(65) = 51067004205033902820914400169100331978933669014<br />
    
      a(66) = 291683222522927448446202632227203155666480289142<br />
    
    a(n+67) = -3125000/2397*(n+2)*(134527683396617544823841*n^4+1222620335403608686969174*n^3+3697428863601993099731491*n^2+3805094413355657450059226*n+252104027489652628666584)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+2)-1/92044800*(3696721709445114443650993983866344612140527*n^5+484053012696685289283968775509751218506777830*n^4+25294042850137833959996323372413166226298986145*n^3+659169679966239599529728453160065179841283229530*n^2+8564596186128815010847449442450581777160345093288*n+44370344751553910524534288506835583059272503117280)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+27)+1/92044800*(1539995036868030457438515630461198575635111*n^5+204135977892074981268967145538902247658015415*n^4+10766536477460171433129812083793716513768428555*n^3+282176844186602798546867301891866867666282245225*n^2+3670939658122222055733753319754113363017737851974*n+18937151089653541053466320885112319402923651195800)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+28)-1/92044800*(12032774725268991640430719686989186949982533*n^5+1489124272987349146377041017468617584539662110*n^4+73652096391755423000684137146135799622372251795*n^3+1819765297479903142788596890946610750146994706930*n^2+22459320773842593506894080681614035422854809192432*n+110762111253757509490217782527173641761171009549840)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+25)+1/18408960*(1436478766627080212986990766722906030401223*n^5+183384501176535845067364824259954527459251837*n^4+9352103681241098657783938123627199557110911463*n^3+238124745338108843336655019156702759541563909531*n^2+3026900209687969162319660582954047752002023689890*n+15364680466035014652943524579907348735714258512888)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+26)-1/46022400*(11872549769672869962225462951123596344546689*n^5+1367228029986138329713212375674511331857101905*n^4+62953599464877840055247845291478990921703887595*n^3+1448722459337396230076905802683890533526984886505*n^2+16661982748391133999663847301298263652282508410846*n+76617210468845317851981108625453531439355712826880)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+23)+1/23011200*(4461724467607005766820241652767666442619388*n^5+533369538606417277572600451269261246042385560*n^4+25489446239242017040815765919777466271403713695*n^3+608690321873622581094517808168393653560962498070*n^2+7263103771220074312110262592439557842652210334817*n+34642792254476464016873395640109249364589796739650)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+24)-1/9204480*(3112147875079093169617776916992320779143437*n^5+330209393411708604758404225949354213078868871*n^4+14011798042766121994773932302699825147232098329*n^3+297221863279524984886600405085575675122172301345*n^2+3151716404955989829833360144162437692086474006386*n+13365337694834263048866003245979258009406482588360)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+21)+1/46022400*(14271598704001027469829102238666072379373129*n^5+1579393480355283403629916441624972076279441670*n^4+69894641723826703577546392262298482574045894835*n^3+1546103770343984784866468819147431447912065069090*n^2+17095024961303840519099852556484554968692765009076*n+75582638100944304592766754566131225106509427188200)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+22)-1/92044800*(27795814134398880580745810265892433645027273*n^5+2691708444904673519778080701344983660491830290*n^4+104257179073017687124881444011819842264371749175*n^3+2018933468843739950734238578775954153636163424750*n^2+19546762419356109149807269965386443304826145265512*n+75692546387476491939756495887011982493838065238080)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+19)+1/92044800*(30840258530294001215346324884017464369860169*n^5+3129960185267855641347365297560661145516082665*n^4+127047229184311258897029310193856080733319378085*n^3+2578133484171351300208767921907488994816303834215*n^2+26155172101456829130459866573282637048238399981306*n+106123079598765593562387627595873266277133403890520)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+20)-1/92044800*(16953446804923468426230872029687592326032907*n^5+1482763404503403082028689595694761831884348010*n^4+51873687203315231505746837242375858216586733365*n^3+907386595883896747680804805935338451810052255750*n^2+7936081199038936281301370203076012127409223715528*n+27763667243600486284615125583713796494039416280480)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+17)+1/92044800*(22778242174579206734479250581272175163419133*n^5+2099247673374381441766890866947321245702476375*n^4+77384671317667704421881038171832160069135362165*n^3+1426273582707894208703462997334958198174238743425*n^2+13143353043267591822902332695828063624303855201262*n+48445530903867853860239480640126765349638920807880)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+18)+1/9204480*(383534755284034803704347174883783811478803*n^5+28107236621854851154467245146538107799577140*n^4+823947324401557230761514766621719511266614015*n^3+12076860656344845156104375988467123217973822180*n^2+88506945472211715794357377560666426335189343982*n+259450600559112644560092931278016851491157819360)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+14)-1/6136320*(465201563469843645779014896962349332742911*n^5+36294631043844345776849641882866284444506616*n^4+1132703743436550208384216448261167427758536473*n^3+17675426896034193107255631437211280543538304076*n^2+137911329003045611305910226332153587061706281692*n+430420758646912461020797139901541166699866409520)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+15)+1/92044800*(11438751785254612712655403499928635385242393*n^5+946508457386811228163753387925717071477670655*n^4+31328555601722932565055364415718140830503071965*n^3+518482598060642064945066131967173349419711053665*n^2+4290459476712646908346214127714545311184954070642*n+14201592611658114646425391832034040975441620416280)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+16)+1/115056*(138332146073639350327607666456921102376*n^5+7517270685483906732787827347109239537320*n^4+163334210298008902811834695669908222310965*n^3+1773656137833581635334926870147614576446360*n^2+9625492857328416784851797601067204754023149*n+20884032861447435817882094160786110507288700)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+10)-1/2301120*(8095155895405672174334645344453954260809*n^5+478183987725418229144583531261715515538830*n^4+11296235496042677953136263009430978157973355*n^3+133395020236576730081432612617036861447337850*n^2+787410520158493441502396044135960667544392156*n+1858648908128942090535216913573424459919231600)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+11)+1/2301120*(20786956065695015587480921980869777658414*n^5+1326344592808485079613470175938863020436503*n^4+33848855320918773822664981783533374799782797*n^3+431871790560038595423910647903169295624994328*n^2+2754736733761435377990930334524072600074392418*n+7027503341818524765543891789608654897760640500)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+12)-1/4602240*(94543066540291394173694427585563272605586*n^5+6480549387726798934854347942940917859457312*n^4+177683269767319922807294783819988992963046683*n^3+2435775906692556554302352869328357838004374287*n^2+16694664503669956503736912338781762953343397412*n+45766861786380373162469336287524768051845174280)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+13)+25/57528*(207472624000965244075600653011252753*n^5+9323602988226227194734561246735767620*n^4+167374960746637427149055837441717181693*n^3+1500295504070661603659978412737772001928*n^2+6714750660346840394645844586479423680350*n+12004058037830276624444337014578132417308)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+8)-5/115056*(8200365926264651170850688715001280548*n^5+406971077899484270964043909231502039344*n^4+8072838125657828001916020863979210963265*n^3+80004587866332844843551691882729831927445*n^2+396108395697561503666573406886437918333282*n+783789103914716820671400066837613030681536)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+9)+125000/7191*(2075531357763766002649998502*n^5+57124667983201258809441618338*n^4+615754922648691826639052765240*n^3+3260762764945124502660442539397*n^2+8504139968623836534800383946010*n+8754099833940974824647216600828)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+4)-625/7191*(4830430335283622263234200327989*n^5+151360392500915307539512931563710*n^4+1881180289059489117031411221457025*n^3+11599570848903415115062910356270590*n^2+35504389031946006868641134049683906*n+43175059631241348213985124152261980)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+5)+125/14382*(373147118526925701023520827306368*n^5+13330082170764392320644248073943330*n^4+189671231448891516017615297366528445*n^3+1343869539591839753613662864955234875*n^2+4741908087808228711398961174411941482*n+6666936600800741842567773605450043000)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+6)-125/14382*(2190635770669373634935957538996101*n^5+88263961618189035814061092660196045*n^4+1419198851034820416818227045146354316*n^3+11383116626832999334769417868132861643*n^2+45544825640731678258281847731235151265*n+72722514281778700663052300754317649588)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+7)+1/92044800*(201771192437703*n^4+51057084322221970*n^3+4844786761853004245*n^2+204315527088806949010*n+3231096591593116397952)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+64)-1/5752800*(207527692991*n^3+39815055894829*n^2+2546167307711291*n+54274379808315744)/(n+67)/(n+68)/(2*n+133)*a(n+65)+1/33840*(13028551*n^2+1689449467*n+54763376292)/(n+68)/(2*n+133)*a(n+66)+1/92044800*(197624608569585809483*n^5+59074541177069341799115*n^4+7063334536797413535840655*n^3+422259535795195711264244805*n^2+12621460152465706880380964142*n+150900382202091055051919745720)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+60)-1/46022400*(4278361003645124041*n^5+1299258227027173835705*n^4+157819773300572457603695*n^3+9584852165264197078213885*n^2+291050028074431506595725354*n+3535071817787967773215417560)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+61)+1/23011200*(76900884101597211*n^5+23720555646788448490*n^4+2926604747647213497500*n^3+180534052106894834834990*n^2+5568140298079592795078629*n+68692182870935847037666140)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+62)-1/18408960*(1787653647397129*n^5+559972954082540934*n^4+70160752845755828191*n^3+4395163900852477765506*n^2+137660604184587680377072*n+1724599007155251187481088)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+63)-1/6136320*(62661671578216108809023*n^5+17846258695382601915814426*n^4+2033049974366709845637235433*n^3+115801655791578926622587854454*n^2+3297976058699235949948371726064*n+37569585013641147669268215216816)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+57)+1/92044800*(64738560784486208090167*n^5+18740260629800586314212365*n^4+2169913118675297725960791895*n^3+125624223619917795685255630635*n^2+3636377337407507560529134795138*n+42103593788271375797428065262200)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+58)-1/30681600*(1287349571561199370241*n^5+378719907855804612182010*n^4+44564801892009577973819055*n^3+2621973049011555505840236390*n^2+77130659539770622969605091544*n+907566825653546288235658942880)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+59)+1/46022400*(636873241243390568967608933*n^5+172730312674437420572782308910*n^4+18738522295246914592091692449255*n^3+1016397242861966518483332703234730*n^2+27564689053509321258910140902410372*n+299015918916101985099691470994088520)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+54)-1/46022400*(65833295876844434149183249*n^5+18146249568862632504921870325*n^4+2000707801802722698318647519195*n^3+110292528651669848771035919973245*n^2+3040004932760591653369460232888966*n+33516476862660636347132840040666720)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+55)+1/23011200*(2973976353720211703548314*n^5+833257609696573458614771650*n^4+93385071528649507286181368625*n^3+5232896863296379970522339703020*n^2+146613376493126704340702829991041*n+1643091891390712922099959902752250)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+56)+1/46022400*(12599049629013638897417680296765225148267*n^5+2241748472051699685196912609322033072055670*n^4+159549558601458666220414050095802447379622485*n^3+5677721458344389618644759632135012342785754170*n^2+101023500424616835214491304752109231621785543448*n+719002962191861765875741245482197491550370394240)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+35)-1/46022400*(5307608895967657903020482709477289310411*n^5+966906375219312923031018694643199025445515*n^4+70460637145810505256152745352487752616337615*n^3+2567411224321222639922516722953129873430622165*n^2+46776864036747146314946195669326032475098381694*n+340913040596117139934974266486775055082008694760)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+36)+1/4602240*(201533814254561225026256479887812219671*n^5+37595559310782206575119923053663855240325*n^4+2805472123998933425909370945344058577096291*n^3+104680651034168987205778562881925761833634747*n^2+1953071583288331216060973473346091822032842174*n+14576437930277390597612269344565646937206875464)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+37)-1/23011200*(346842276633578237061716917402910499271*n^5+66245480266008954092962984092862080344370*n^4+5061261108121323649925317377425623121451245*n^3+193352560382864029619560565071599679464189870*n^2+3693432850687372613965662796354090338782213484*n+28222140981172629493899056799065375504602865880)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+38)+1/23011200*(108534212920951007752330285881824975049*n^5+21216955232520329849575828554469934689355*n^4+1659094734960317252718278939606221125498515*n^3+64869650076717086499874492718725337431658155*n^2+1268220192038450131878130257037600024568028226*n+9917928602915707902951979124411812558957127760)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+39)-1/11505600*(15452445398858512768647051801578992567*n^5+3090388034366337903023052093626802568785*n^4+247224211675061147795446966464106854276220*n^3+9888756699025763459520783271621569357470565*n^2+197772350793265628129707824372383832502301113*n+1582169901790912372760722089300883333637983470)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+40)+1/46022400*(16004079899200900331054568199000357859*n^5+3272756089163751453754366941554676888290*n^4+267698723340951494021850367615397029602085*n^3+10948108147563276620420471130551001314652910*n^2+223868164533447067380060549846412096625884416*n+1831034040138343803014549588776422491017436400)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+41)-1/46022400*(3758836458868333923855010537773480037*n^5+785469850078991631179930202128438610535*n^4+65650671379588408129170707173641492945845*n^3+2743421128023973812824018453402020726276145*n^2+57317798622572173945516291535439320675835798*n+478983190745702879690691028533531370087477800)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+42)+1/46022400*(797074571793412122652372252259709797*n^5+170073378322680545467206793162615658770*n^4+14513942060276893595250422180345257016635*n^3+619235162252554623908165320383424073903870*n^2+13208286347623189356556129127980857588838728*n+112680145247624521826866914510509324786612640)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+43)-1/9204480*(30275705656188634696739933709415349*n^5+6589645681337147762666239825651175329*n^4+573600232656023307651603138720415766005*n^3+24959990619237032567854570103070371922035*n^2+542957246315625459748843905191276166489066*n+4723469655986337562006497079367736353355480)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+44)+1/23011200*(12692596320544910441741151261398721*n^5+2813957997832082621592534997815183115*n^4+249465525678975805139386258744102903010*n^3+11054398612231433859668279381643091908800*n^2+244842590670619522277269342634956458109474*n+2168459904671495520560695358282007119500560)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+45)-1/46022400*(3657046553846976554003992605858201*n^5+823719245017308178027272382062060820*n^4+74172860491043246368977378228571588265*n^3+3337543349816909210730600085774249653860*n^2+75043483571838862040063035681990948608814*n+674497581002074327221811278400812740476080)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+46)+1/92044800*(849124311385447405781735582797897*n^5+193111812779653139536376313800317740*n^4+17545035221183173316480186020524939135*n^3+795934176474012154810728406271848835160*n^2+18027373885149233492961200121046389345068*n+163064546146882054494146965672225213875120)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+47)-1/92044800*(63472961943270642058714173084061*n^5+14171667600671841534277488968837515*n^4+1258121362961952734962047057020011465*n^3+55456649819980644686139335473992096245*n^2+1212090958291183976619122277272934769234*n+10490458137195727625701833701115768378120)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+48)-1/92044800*(2049210092308877874112599709607*n^5+658668133722584978086770721535570*n^4+79952661079528277981560388688688985*n^3+4675103208534227644542863870905268830*n^2+133161298641352014905013670774485574088*n+1488091864522820013683047279794073116960)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+49)+1/18408960*(383132505993267584287418980173*n^5+99899388022764446413978769132487*n^4+10402821798830551454629600788376133*n^3+540847118875456644420378630063405873*n^2+14040352997581494871165148768282149774*n+145610310431206123429535869523480028744)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+50)-1/92044800*(452261385720480607822769271933*n^5+117721914056262133520352039668730*n^4+12252557888733484649087499527412355*n^3+637401934870936918934323169726890470*n^2+16573811535213009157067720010889458632*n+172325199572215936596338198039228729280)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+51)+1/92044800*(76855444636431990251170124349*n^5+20226609872710546359098829752925*n^4+2129010512336682454689307556252905*n^3+112033988828555150993647823115588435*n^2+2947406790768426365137052045563504226*n+31012703001659105011025490831322444920)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+52)-1/46022400*(5352007698256821506789280869*n^5+1428976855347591288046197691615*n^4+152606417022037938590910568456065*n^3+8148352307532940644090220148133305*n^2+217528645526498085115623022007637106*n+2322752899146211193599473935745984360)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+53)-1/18408960*(30553191706807592541400596887951917132295*n^5+5130306036155842610706865850302900743692617*n^4+344157955118995513025211673112426990122515743*n^3+11530442167689932734241907515202713279746382231*n^2+192947888682906115579484326829270410284302049482*n+1290206741536035383424362114561918469961364619984)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+32)+1/46022400*(49365381652228992780284019091364502092073*n^5+8410223715931112141439588846389317835121950*n^4+572911814313375999948352584228049423167454735*n^3+19506515440213957262058440029837293886465159450*n^2+331962817876879890788550750861259874266283224472*n+2258982237390741885419773215492734044567743492000)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+33)-1/46022400*(26674937373266506583187768277983162654103*n^5+4639267802517785747676455547641497975955845*n^4+322708016539664480313929835215292306305984095*n^3+11222651443577611130753604307508705032251502355*n^2+195122652901907556086579371413076128746595254602*n+1356867523132388775013278186453138388348089299160)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+34)-312500/7191*(24813680958632105393632504*n^5+727290425356615847620810148*n^4+7405488780749361686215866977*n^3+34867138348433461320849468859*n^2+77963600704778349919466834178*n+67153955001191946102651013296)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+3)-634720452412308350562500000/2397*n*(2*n+3)*(2*n+1)*(n+2)*(n+1)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n)+10512500000/2397*(2*n+3)*(n+2)*(n+1)*(2794441050149706173*n^2+12853318487281780924*n+14612988325558094760)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+1)-1/46022400*(206771271535605777340445806729865496583749*n^5+26129785950087765858400805065325726663230925*n^4+1285119703335551191766263608689135356149983015*n^3+30379257647834511452010613038601411024233788125*n^2+337528694290077128471477306620015479317951567986*n+1342176144044154942094176923399000489457507425400)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+29)-1/23011200*(13326440309437685787330070855802222891918*n^5+3153719412788177148028434290518430706278090*n^4+260422174975137684078885586998707191780751205*n^3+10007286599228706635704015919505038590479759790*n^2+183927377362648733739015403164515600090422736977*n+1311981874205841315082011910529507467374941417460)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+30)+1/92044800*(173461359684649382901773199330862172079317*n^5+29375121650753513808930968932059758063516250*n^4+1979356902652605349506598261632400407422779795*n^3+66381490799957948134249554643490047550990879430*n^2+1108648276161099197977947577360425253480949220648*n+7380015112128957824948392651539045394395357616800)/(n+65)/(2*n+133)/(n+68)/(n+67)/(n+66)*a(n+31), n >= 67<br /><br />

    Recurrence in latex format:<br />
    
      a(0) = 1<br />
    
      a(1) = 1<br />
    
      a(2) = 2<br />
    
      a(3) = 6<br />
    
      a(4) = 24<br />
    
      a(5) = 111<br />
    
      a(6) = 546<br />
    
      a(7) = 2764<br />
    
      a(8) = 14232<br />
    
      a(9) = 74177<br />
    
      a(10) = 390290<br />
    
      a(11) = 2069339<br />
    
      a(12) = 11041310<br />
    
      a(13) = 59226496<br />
    
      a(14) = 319141902<br />
    
      a(15) = 1726497127<br />
    
      a(16) = 9372587220<br />
    
      a(17) = 51039081940<br />
    
      a(18) = 278717628170<br />
    
      a(19) = 1525933696743<br />
    
      a(20) = 8373857048772<br />
    
      a(21) = 46052877140839<br />
    
      a(22) = 253783168954160<br />
    
      a(23) = 1401153683125173<br />
    
      a(24) = 7749517731034248<br />
    
      a(25) = 42932308982573170<br />
    
      a(26) = 238217628235883346<br />
    
      a(27) = 1323753009269873610<br />
    
      a(28) = 7366311522210205308<br />
    
      a(29) = 41046177937316496492<br />
    
      a(30) = 229005958005742156940<br />
    
      a(31) = 1279223007853666920452<br />
    
      a(32) = 7153968523562061392920<br />
    
      a(33) = 40052217889864523345003<br />
    
      a(34) = 224472869911574291998612<br />
    
      a(35) = 1259328892135599839986324<br />
    
      a(36) = 7071864943870222273255424<br />
    
      a(37) = 39749418176913525009489223<br />
    
      a(38) = 223621293601726111653610664<br />
    
      a(39) = 1259115411069987143308073678<br />
    
      a(40) = 7095340016137775396404792942<br />
    
      a(41) = 40014946040939159940596517366<br />
    
      a(42) = 225839236337236433027093755564<br />
    
      a(43) = 1275534346415636131439891071780<br />
    
      a(44) = 7209225528087781407260873813970<br />
    
      a(45) = 40773448647396871384205738068531<br />
    
      a(46) = 230753289638894345166211118057248<br />
    
      a(47) = 1306741672890856955498689899080587<br />
    
      a(48) = 7404457118866527657991286860771090<br />
    
      a(49) = 41980640833057511651604177327165894<br />
    
      a(50) = 238148813666534369533459890334581720<br />
    
      a(51) = 1351707950144595413161916995049409760<br />
    
      a(52) = 7676166054441006210556986327492745792<br />
    
      a(53) = 43613930808165441928980741264538304814<br />
    
      a(54) = 247923762415005599066990737449251250804<br />
    
      a(55) = 1409990351758386582545079613885246757882<br />
    
      a(56) = 8022551475533527052585761644112788450494<br />
    
      a(57) = 45666832153542871247554740472173718351784<br />
    
      a(58) = 260060959829448329062067468500153013787482<br />
    
      a(59) = 1481594993434438057667110081545922027472957<br />
    
      a(60) = 8444196393172929022922531517648534853282900<br />
    
      a(61) = 48145565127179393047279817059287769718686626<br />
    
      a(62) = 274611218636536675103688615448215998755446614<br />
    
      a(63) = 1566893159831295470875612494444642361350174187<br />
    
      a(64) = 8943652579831925586541008746159214954881668234<br />
    
      a(65) = 51067004205033902820914400169100331978933669014<br />
    
      a(66) = 291683222522927448446202632227203155666480289142<br />
    
    a{\left(n + 67 \right)} = - \frac{634720452412308350562500000 n \left(n + 1\right) \left(n + 2\right) \left(2 n + 1\right) \left(2 n + 3\right) a{\left(n \right)}}{2397 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{10512500000 \left(n + 1\right) \left(n + 2\right) \left(2 n + 3\right) \left(2794441050149706173 n^{2} + 12853318487281780924 n + 14612988325558094760\right) a{\left(n + 1 \right)}}{2397 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{3125000 \left(n + 2\right) \left(134527683396617544823841 n^{4} + 1222620335403608686969174 n^{3} + 3697428863601993099731491 n^{2} + 3805094413355657450059226 n + 252104027489652628666584\right) a{\left(n + 2 \right)}}{2397 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(13028551 n^{2} + 1689449467 n + 54763376292\right) a{\left(n + 66 \right)}}{33840 \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(207527692991 n^{3} + 39815055894829 n^{2} + 2546167307711291 n + 54274379808315744\right) a{\left(n + 65 \right)}}{5752800 \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(201771192437703 n^{4} + 51057084322221970 n^{3} + 4844786761853004245 n^{2} + 204315527088806949010 n + 3231096591593116397952\right) a{\left(n + 64 \right)}}{92044800 \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(1787653647397129 n^{5} + 559972954082540934 n^{4} + 70160752845755828191 n^{3} + 4395163900852477765506 n^{2} + 137660604184587680377072 n + 1724599007155251187481088\right) a{\left(n + 63 \right)}}{18408960 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(76900884101597211 n^{5} + 23720555646788448490 n^{4} + 2926604747647213497500 n^{3} + 180534052106894834834990 n^{2} + 5568140298079592795078629 n + 68692182870935847037666140\right) a{\left(n + 62 \right)}}{23011200 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(4278361003645124041 n^{5} + 1299258227027173835705 n^{4} + 157819773300572457603695 n^{3} + 9584852165264197078213885 n^{2} + 291050028074431506595725354 n + 3535071817787967773215417560\right) a{\left(n + 61 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(197624608569585809483 n^{5} + 59074541177069341799115 n^{4} + 7063334536797413535840655 n^{3} + 422259535795195711264244805 n^{2} + 12621460152465706880380964142 n + 150900382202091055051919745720\right) a{\left(n + 60 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(1287349571561199370241 n^{5} + 378719907855804612182010 n^{4} + 44564801892009577973819055 n^{3} + 2621973049011555505840236390 n^{2} + 77130659539770622969605091544 n + 907566825653546288235658942880\right) a{\left(n + 59 \right)}}{30681600 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(62661671578216108809023 n^{5} + 17846258695382601915814426 n^{4} + 2033049974366709845637235433 n^{3} + 115801655791578926622587854454 n^{2} + 3297976058699235949948371726064 n + 37569585013641147669268215216816\right) a{\left(n + 57 \right)}}{6136320 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(64738560784486208090167 n^{5} + 18740260629800586314212365 n^{4} + 2169913118675297725960791895 n^{3} + 125624223619917795685255630635 n^{2} + 3636377337407507560529134795138 n + 42103593788271375797428065262200\right) a{\left(n + 58 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(2973976353720211703548314 n^{5} + 833257609696573458614771650 n^{4} + 93385071528649507286181368625 n^{3} + 5232896863296379970522339703020 n^{2} + 146613376493126704340702829991041 n + 1643091891390712922099959902752250\right) a{\left(n + 56 \right)}}{23011200 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{312500 \left(24813680958632105393632504 n^{5} + 727290425356615847620810148 n^{4} + 7405488780749361686215866977 n^{3} + 34867138348433461320849468859 n^{2} + 77963600704778349919466834178 n + 67153955001191946102651013296\right) a{\left(n + 3 \right)}}{7191 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(65833295876844434149183249 n^{5} + 18146249568862632504921870325 n^{4} + 2000707801802722698318647519195 n^{3} + 110292528651669848771035919973245 n^{2} + 3040004932760591653369460232888966 n + 33516476862660636347132840040666720\right) a{\left(n + 55 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(636873241243390568967608933 n^{5} + 172730312674437420572782308910 n^{4} + 18738522295246914592091692449255 n^{3} + 1016397242861966518483332703234730 n^{2} + 27564689053509321258910140902410372 n + 299015918916101985099691470994088520\right) a{\left(n + 54 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{125000 \left(2075531357763766002649998502 n^{5} + 57124667983201258809441618338 n^{4} + 615754922648691826639052765240 n^{3} + 3260762764945124502660442539397 n^{2} + 8504139968623836534800383946010 n + 8754099833940974824647216600828\right) a{\left(n + 4 \right)}}{7191 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(5352007698256821506789280869 n^{5} + 1428976855347591288046197691615 n^{4} + 152606417022037938590910568456065 n^{3} + 8148352307532940644090220148133305 n^{2} + 217528645526498085115623022007637106 n + 2322752899146211193599473935745984360\right) a{\left(n + 53 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(76855444636431990251170124349 n^{5} + 20226609872710546359098829752925 n^{4} + 2129010512336682454689307556252905 n^{3} + 112033988828555150993647823115588435 n^{2} + 2947406790768426365137052045563504226 n + 31012703001659105011025490831322444920\right) a{\left(n + 52 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(383132505993267584287418980173 n^{5} + 99899388022764446413978769132487 n^{4} + 10402821798830551454629600788376133 n^{3} + 540847118875456644420378630063405873 n^{2} + 14040352997581494871165148768282149774 n + 145610310431206123429535869523480028744\right) a{\left(n + 50 \right)}}{18408960 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(452261385720480607822769271933 n^{5} + 117721914056262133520352039668730 n^{4} + 12252557888733484649087499527412355 n^{3} + 637401934870936918934323169726890470 n^{2} + 16573811535213009157067720010889458632 n + 172325199572215936596338198039228729280\right) a{\left(n + 51 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(2049210092308877874112599709607 n^{5} + 658668133722584978086770721535570 n^{4} + 79952661079528277981560388688688985 n^{3} + 4675103208534227644542863870905268830 n^{2} + 133161298641352014905013670774485574088 n + 1488091864522820013683047279794073116960\right) a{\left(n + 49 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{625 \left(4830430335283622263234200327989 n^{5} + 151360392500915307539512931563710 n^{4} + 1881180289059489117031411221457025 n^{3} + 11599570848903415115062910356270590 n^{2} + 35504389031946006868641134049683906 n + 43175059631241348213985124152261980\right) a{\left(n + 5 \right)}}{7191 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(63472961943270642058714173084061 n^{5} + 14171667600671841534277488968837515 n^{4} + 1258121362961952734962047057020011465 n^{3} + 55456649819980644686139335473992096245 n^{2} + 1212090958291183976619122277272934769234 n + 10490458137195727625701833701115768378120\right) a{\left(n + 48 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{125 \left(373147118526925701023520827306368 n^{5} + 13330082170764392320644248073943330 n^{4} + 189671231448891516017615297366528445 n^{3} + 1343869539591839753613662864955234875 n^{2} + 4741908087808228711398961174411941482 n + 6666936600800741842567773605450043000\right) a{\left(n + 6 \right)}}{14382 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(849124311385447405781735582797897 n^{5} + 193111812779653139536376313800317740 n^{4} + 17545035221183173316480186020524939135 n^{3} + 795934176474012154810728406271848835160 n^{2} + 18027373885149233492961200121046389345068 n + 163064546146882054494146965672225213875120\right) a{\left(n + 47 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{125 \left(2190635770669373634935957538996101 n^{5} + 88263961618189035814061092660196045 n^{4} + 1419198851034820416818227045146354316 n^{3} + 11383116626832999334769417868132861643 n^{2} + 45544825640731678258281847731235151265 n + 72722514281778700663052300754317649588\right) a{\left(n + 7 \right)}}{14382 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(3657046553846976554003992605858201 n^{5} + 823719245017308178027272382062060820 n^{4} + 74172860491043246368977378228571588265 n^{3} + 3337543349816909210730600085774249653860 n^{2} + 75043483571838862040063035681990948608814 n + 674497581002074327221811278400812740476080\right) a{\left(n + 46 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(12692596320544910441741151261398721 n^{5} + 2813957997832082621592534997815183115 n^{4} + 249465525678975805139386258744102903010 n^{3} + 11054398612231433859668279381643091908800 n^{2} + 244842590670619522277269342634956458109474 n + 2168459904671495520560695358282007119500560\right) a{\left(n + 45 \right)}}{23011200 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(30275705656188634696739933709415349 n^{5} + 6589645681337147762666239825651175329 n^{4} + 573600232656023307651603138720415766005 n^{3} + 24959990619237032567854570103070371922035 n^{2} + 542957246315625459748843905191276166489066 n + 4723469655986337562006497079367736353355480\right) a{\left(n + 44 \right)}}{9204480 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{25 \left(207472624000965244075600653011252753 n^{5} + 9323602988226227194734561246735767620 n^{4} + 167374960746637427149055837441717181693 n^{3} + 1500295504070661603659978412737772001928 n^{2} + 6714750660346840394645844586479423680350 n + 12004058037830276624444337014578132417308\right) a{\left(n + 8 \right)}}{57528 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(797074571793412122652372252259709797 n^{5} + 170073378322680545467206793162615658770 n^{4} + 14513942060276893595250422180345257016635 n^{3} + 619235162252554623908165320383424073903870 n^{2} + 13208286347623189356556129127980857588838728 n + 112680145247624521826866914510509324786612640\right) a{\left(n + 43 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(3758836458868333923855010537773480037 n^{5} + 785469850078991631179930202128438610535 n^{4} + 65650671379588408129170707173641492945845 n^{3} + 2743421128023973812824018453402020726276145 n^{2} + 57317798622572173945516291535439320675835798 n + 478983190745702879690691028533531370087477800\right) a{\left(n + 42 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{5 \left(8200365926264651170850688715001280548 n^{5} + 406971077899484270964043909231502039344 n^{4} + 8072838125657828001916020863979210963265 n^{3} + 80004587866332844843551691882729831927445 n^{2} + 396108395697561503666573406886437918333282 n + 783789103914716820671400066837613030681536\right) a{\left(n + 9 \right)}}{115056 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(15452445398858512768647051801578992567 n^{5} + 3090388034366337903023052093626802568785 n^{4} + 247224211675061147795446966464106854276220 n^{3} + 9888756699025763459520783271621569357470565 n^{2} + 197772350793265628129707824372383832502301113 n + 1582169901790912372760722089300883333637983470\right) a{\left(n + 40 \right)}}{11505600 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(16004079899200900331054568199000357859 n^{5} + 3272756089163751453754366941554676888290 n^{4} + 267698723340951494021850367615397029602085 n^{3} + 10948108147563276620420471130551001314652910 n^{2} + 223868164533447067380060549846412096625884416 n + 1831034040138343803014549588776422491017436400\right) a{\left(n + 41 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(108534212920951007752330285881824975049 n^{5} + 21216955232520329849575828554469934689355 n^{4} + 1659094734960317252718278939606221125498515 n^{3} + 64869650076717086499874492718725337431658155 n^{2} + 1268220192038450131878130257037600024568028226 n + 9917928602915707902951979124411812558957127760\right) a{\left(n + 39 \right)}}{23011200 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(138332146073639350327607666456921102376 n^{5} + 7517270685483906732787827347109239537320 n^{4} + 163334210298008902811834695669908222310965 n^{3} + 1773656137833581635334926870147614576446360 n^{2} + 9625492857328416784851797601067204754023149 n + 20884032861447435817882094160786110507288700\right) a{\left(n + 10 \right)}}{115056 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(201533814254561225026256479887812219671 n^{5} + 37595559310782206575119923053663855240325 n^{4} + 2805472123998933425909370945344058577096291 n^{3} + 104680651034168987205778562881925761833634747 n^{2} + 1953071583288331216060973473346091822032842174 n + 14576437930277390597612269344565646937206875464\right) a{\left(n + 37 \right)}}{4602240 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(346842276633578237061716917402910499271 n^{5} + 66245480266008954092962984092862080344370 n^{4} + 5061261108121323649925317377425623121451245 n^{3} + 193352560382864029619560565071599679464189870 n^{2} + 3693432850687372613965662796354090338782213484 n + 28222140981172629493899056799065375504602865880\right) a{\left(n + 38 \right)}}{23011200 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(5307608895967657903020482709477289310411 n^{5} + 966906375219312923031018694643199025445515 n^{4} + 70460637145810505256152745352487752616337615 n^{3} + 2567411224321222639922516722953129873430622165 n^{2} + 46776864036747146314946195669326032475098381694 n + 340913040596117139934974266486775055082008694760\right) a{\left(n + 36 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(8095155895405672174334645344453954260809 n^{5} + 478183987725418229144583531261715515538830 n^{4} + 11296235496042677953136263009430978157973355 n^{3} + 133395020236576730081432612617036861447337850 n^{2} + 787410520158493441502396044135960667544392156 n + 1858648908128942090535216913573424459919231600\right) a{\left(n + 11 \right)}}{2301120 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(12599049629013638897417680296765225148267 n^{5} + 2241748472051699685196912609322033072055670 n^{4} + 159549558601458666220414050095802447379622485 n^{3} + 5677721458344389618644759632135012342785754170 n^{2} + 101023500424616835214491304752109231621785543448 n + 719002962191861765875741245482197491550370394240\right) a{\left(n + 35 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(13326440309437685787330070855802222891918 n^{5} + 3153719412788177148028434290518430706278090 n^{4} + 260422174975137684078885586998707191780751205 n^{3} + 10007286599228706635704015919505038590479759790 n^{2} + 183927377362648733739015403164515600090422736977 n + 1311981874205841315082011910529507467374941417460\right) a{\left(n + 30 \right)}}{23011200 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(20786956065695015587480921980869777658414 n^{5} + 1326344592808485079613470175938863020436503 n^{4} + 33848855320918773822664981783533374799782797 n^{3} + 431871790560038595423910647903169295624994328 n^{2} + 2754736733761435377990930334524072600074392418 n + 7027503341818524765543891789608654897760640500\right) a{\left(n + 12 \right)}}{2301120 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(26674937373266506583187768277983162654103 n^{5} + 4639267802517785747676455547641497975955845 n^{4} + 322708016539664480313929835215292306305984095 n^{3} + 11222651443577611130753604307508705032251502355 n^{2} + 195122652901907556086579371413076128746595254602 n + 1356867523132388775013278186453138388348089299160\right) a{\left(n + 34 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(30553191706807592541400596887951917132295 n^{5} + 5130306036155842610706865850302900743692617 n^{4} + 344157955118995513025211673112426990122515743 n^{3} + 11530442167689932734241907515202713279746382231 n^{2} + 192947888682906115579484326829270410284302049482 n + 1290206741536035383424362114561918469961364619984\right) a{\left(n + 32 \right)}}{18408960 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(49365381652228992780284019091364502092073 n^{5} + 8410223715931112141439588846389317835121950 n^{4} + 572911814313375999948352584228049423167454735 n^{3} + 19506515440213957262058440029837293886465159450 n^{2} + 331962817876879890788550750861259874266283224472 n + 2258982237390741885419773215492734044567743492000\right) a{\left(n + 33 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(94543066540291394173694427585563272605586 n^{5} + 6480549387726798934854347942940917859457312 n^{4} + 177683269767319922807294783819988992963046683 n^{3} + 2435775906692556554302352869328357838004374287 n^{2} + 16694664503669956503736912338781762953343397412 n + 45766861786380373162469336287524768051845174280\right) a{\left(n + 13 \right)}}{4602240 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(173461359684649382901773199330862172079317 n^{5} + 29375121650753513808930968932059758063516250 n^{4} + 1979356902652605349506598261632400407422779795 n^{3} + 66381490799957948134249554643490047550990879430 n^{2} + 1108648276161099197977947577360425253480949220648 n + 7380015112128957824948392651539045394395357616800\right) a{\left(n + 31 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(206771271535605777340445806729865496583749 n^{5} + 26129785950087765858400805065325726663230925 n^{4} + 1285119703335551191766263608689135356149983015 n^{3} + 30379257647834511452010613038601411024233788125 n^{2} + 337528694290077128471477306620015479317951567986 n + 1342176144044154942094176923399000489457507425400\right) a{\left(n + 29 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(383534755284034803704347174883783811478803 n^{5} + 28107236621854851154467245146538107799577140 n^{4} + 823947324401557230761514766621719511266614015 n^{3} + 12076860656344845156104375988467123217973822180 n^{2} + 88506945472211715794357377560666426335189343982 n + 259450600559112644560092931278016851491157819360\right) a{\left(n + 14 \right)}}{9204480 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(465201563469843645779014896962349332742911 n^{5} + 36294631043844345776849641882866284444506616 n^{4} + 1132703743436550208384216448261167427758536473 n^{3} + 17675426896034193107255631437211280543538304076 n^{2} + 137911329003045611305910226332153587061706281692 n + 430420758646912461020797139901541166699866409520\right) a{\left(n + 15 \right)}}{6136320 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(1436478766627080212986990766722906030401223 n^{5} + 183384501176535845067364824259954527459251837 n^{4} + 9352103681241098657783938123627199557110911463 n^{3} + 238124745338108843336655019156702759541563909531 n^{2} + 3026900209687969162319660582954047752002023689890 n + 15364680466035014652943524579907348735714258512888\right) a{\left(n + 26 \right)}}{18408960 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(1539995036868030457438515630461198575635111 n^{5} + 204135977892074981268967145538902247658015415 n^{4} + 10766536477460171433129812083793716513768428555 n^{3} + 282176844186602798546867301891866867666282245225 n^{2} + 3670939658122222055733753319754113363017737851974 n + 18937151089653541053466320885112319402923651195800\right) a{\left(n + 28 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(3112147875079093169617776916992320779143437 n^{5} + 330209393411708604758404225949354213078868871 n^{4} + 14011798042766121994773932302699825147232098329 n^{3} + 297221863279524984886600405085575675122172301345 n^{2} + 3151716404955989829833360144162437692086474006386 n + 13365337694834263048866003245979258009406482588360\right) a{\left(n + 21 \right)}}{9204480 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(3696721709445114443650993983866344612140527 n^{5} + 484053012696685289283968775509751218506777830 n^{4} + 25294042850137833959996323372413166226298986145 n^{3} + 659169679966239599529728453160065179841283229530 n^{2} + 8564596186128815010847449442450581777160345093288 n + 44370344751553910524534288506835583059272503117280\right) a{\left(n + 27 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(4461724467607005766820241652767666442619388 n^{5} + 533369538606417277572600451269261246042385560 n^{4} + 25489446239242017040815765919777466271403713695 n^{3} + 608690321873622581094517808168393653560962498070 n^{2} + 7263103771220074312110262592439557842652210334817 n + 34642792254476464016873395640109249364589796739650\right) a{\left(n + 24 \right)}}{23011200 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(11438751785254612712655403499928635385242393 n^{5} + 946508457386811228163753387925717071477670655 n^{4} + 31328555601722932565055364415718140830503071965 n^{3} + 518482598060642064945066131967173349419711053665 n^{2} + 4290459476712646908346214127714545311184954070642 n + 14201592611658114646425391832034040975441620416280\right) a{\left(n + 16 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(11872549769672869962225462951123596344546689 n^{5} + 1367228029986138329713212375674511331857101905 n^{4} + 62953599464877840055247845291478990921703887595 n^{3} + 1448722459337396230076905802683890533526984886505 n^{2} + 16661982748391133999663847301298263652282508410846 n + 76617210468845317851981108625453531439355712826880\right) a{\left(n + 23 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(12032774725268991640430719686989186949982533 n^{5} + 1489124272987349146377041017468617584539662110 n^{4} + 73652096391755423000684137146135799622372251795 n^{3} + 1819765297479903142788596890946610750146994706930 n^{2} + 22459320773842593506894080681614035422854809192432 n + 110762111253757509490217782527173641761171009549840\right) a{\left(n + 25 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(14271598704001027469829102238666072379373129 n^{5} + 1579393480355283403629916441624972076279441670 n^{4} + 69894641723826703577546392262298482574045894835 n^{3} + 1546103770343984784866468819147431447912065069090 n^{2} + 17095024961303840519099852556484554968692765009076 n + 75582638100944304592766754566131225106509427188200\right) a{\left(n + 22 \right)}}{46022400 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(16953446804923468426230872029687592326032907 n^{5} + 1482763404503403082028689595694761831884348010 n^{4} + 51873687203315231505746837242375858216586733365 n^{3} + 907386595883896747680804805935338451810052255750 n^{2} + 7936081199038936281301370203076012127409223715528 n + 27763667243600486284615125583713796494039416280480\right) a{\left(n + 17 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(22778242174579206734479250581272175163419133 n^{5} + 2099247673374381441766890866947321245702476375 n^{4} + 77384671317667704421881038171832160069135362165 n^{3} + 1426273582707894208703462997334958198174238743425 n^{2} + 13143353043267591822902332695828063624303855201262 n + 48445530903867853860239480640126765349638920807880\right) a{\left(n + 18 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} - \frac{\left(27795814134398880580745810265892433645027273 n^{5} + 2691708444904673519778080701344983660491830290 n^{4} + 104257179073017687124881444011819842264371749175 n^{3} + 2018933468843739950734238578775954153636163424750 n^{2} + 19546762419356109149807269965386443304826145265512 n + 75692546387476491939756495887011982493838065238080\right) a{\left(n + 19 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)} + \frac{\left(30840258530294001215346324884017464369860169 n^{5} + 3129960185267855641347365297560661145516082665 n^{4} + 127047229184311258897029310193856080733319378085 n^{3} + 2578133484171351300208767921907488994816303834215 n^{2} + 26155172101456829130459866573282637048238399981306 n + 106123079598765593562387627595873266277133403890520\right) a{\left(n + 20 \right)}}{92044800 \left(n + 65\right) \left(n + 66\right) \left(n + 67\right) \left(n + 68\right) \left(2 n + 133\right)}, \quad n \geq 67<br /><br />
  



  Specification 1<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://www.permpal.com/tree/24621/<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[17,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[17,x]*F[8,x]<br />
  
    F[8,x] = F[27,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]<br />
  
    F[10,x] = F[11,x]*F[17,x]<br />
  
    F[11,x] = 1/F[17,x]*F[12,x]<br />
  
    F[12,x] = F[13,x]<br />
  
    F[13,x] = F[14,x]+F[18,x]<br />
  
    F[14,x] = F[15,x]*F[2,x]<br />
  
    F[15,x] = 1/F[17,x]*F[16,x]<br />
  
    F[16,x] = F[2,x]<br />
  
    F[17,x] = x<br />
  
    F[18,x] = F[19,x]<br />
  
    F[19,x] = F[17,x]*F[20,x]*F[22,x]<br />
  
    F[20,x] = F[2,x]+F[21,x]<br />
  
    F[21,x] = F[0,x]*F[2,x]<br />
  
    F[22,x] = 1/F[17,x]*F[23,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = -F[13,x]+F[25,x]<br />
  
    F[25,x] = 1/F[17,x]*F[26,x]<br />
  
    F[26,x] = F[6,x]<br />
  
    F[27,x] = F[28,x]+F[60,x]<br />
  
    F[28,x] = -F[59,x]+F[29,x]<br />
  
    F[29,x] = 1/F[17,x]*F[30,x]<br />
  
    F[30,x] = F[31,x]<br />
  
    F[31,x] = F[32,x]<br />
  
    F[32,x] = F[17,x]*F[33,x]*F[4,x]<br />
  
    F[33,x] = F[34,x]+F[35,x]<br />
  
    F[34,x] = (x*F[34,x]+x-2*F[34,x])*(x*F[34,x]+x-1)<br />
  
    F[35,x] = F[17,x]+F[36,x]<br />
  
    F[36,x] = F[37,x]<br />
  
    F[37,x] = F[17,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]+F[47,x]<br />
  
    F[39,x] = F[17,x]*F[40,x]<br />
  
    F[40,x] = F[41,x]+F[42,x]<br />
  
    F[41,x] = -1+(x^2-2*x)*F[41,x]^2+(2+x)*F[41,x]<br />
  
    F[42,x] = F[43,x]<br />
  
    F[43,x] = F[17,x]*F[40,x]*F[44,x]<br />
  
    F[44,x] = F[41,x]+F[45,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[17,x]*F[41,x]*F[44,x]<br />
  
    F[47,x] = F[35,x]+F[48,x]<br />
  
    F[48,x] = F[49,x]<br />
  
    F[49,x] = F[17,x]*F[50,x]<br />
  
    F[50,x] = F[51,x]+F[52,x]<br />
  
    F[51,x] = F[44,x]*F[47,x]<br />
  
    F[52,x] = F[40,x]*F[53,x]<br />
  
    F[53,x] = F[35,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[17,x]*F[56,x]<br />
  
    F[56,x] = F[57,x]+F[58,x]<br />
  
    F[57,x] = F[35,x]*F[44,x]<br />
  
    F[58,x] = F[41,x]*F[53,x]<br />
  
    F[59,x] = F[2,x]*F[41,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = -F[62,x]+F[28,x]<br />
  
    F[62,x] = F[2,x]+F[31,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_{17}\! \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_{17}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{27}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{17}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{16}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = x<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = -F_{13}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{26}\! \left(x \right) = F_{6}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{17}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = x^{2} F_{34} \left(x \right)^{2}+2 x^{2} F_{34}\! \left(x \right)-2 x F_{34} \left(x \right)^{2}+x^{2}-3 x F_{34}\! \left(x \right)-x +2 F_{34}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{17}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{17}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = x^{2} F_{41} \left(x \right)^{2}-2 x F_{41} \left(x \right)^{2}+F_{41}\! \left(x \right) x +2 F_{41}\! \left(x \right)-1<br />
  
    F_{42}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{41}\! \left(x \right)+F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{17}\! \left(x \right) F_{41}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{35}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{17}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{44}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{40}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{35}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{17}\! \left(x \right) F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{35}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{41}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{2}\! \left(x \right) F_{41}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \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_17(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_17(x)*F_8(x))<br />
  
    Eq(F_8(x), F_27(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x))<br />
  
    Eq(F_10(x), F_11(x)*F_17(x))<br />
  
    Eq(F_11(x), F_12(x)/F_17(x))<br />
  
    Eq(F_12(x), F_13(x))<br />
  
    Eq(F_13(x), F_14(x) + F_18(x))<br />
  
    Eq(F_14(x), F_15(x)*F_2(x))<br />
  
    Eq(F_15(x), F_16(x)/F_17(x))<br />
  
    Eq(F_16(x), F_2(x))<br />
  
    Eq(F_17(x), x)<br />
  
    Eq(F_18(x), F_19(x))<br />
  
    Eq(F_19(x), F_17(x)*F_20(x)*F_22(x))<br />
  
    Eq(F_20(x), F_2(x) + F_21(x))<br />
  
    Eq(F_21(x), F_0(x)*F_2(x))<br />
  
    Eq(F_22(x), F_23(x)/F_17(x))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), -F_13(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x)/F_17(x))<br />
  
    Eq(F_26(x), F_6(x))<br />
  
    Eq(F_27(x), F_28(x) + F_60(x))<br />
  
    Eq(F_28(x), F_29(x) - F_59(x))<br />
  
    Eq(F_29(x), F_30(x)/F_17(x))<br />
  
    Eq(F_30(x), F_31(x))<br />
  
    Eq(F_31(x), F_32(x))<br />
  
    Eq(F_32(x), F_17(x)*F_33(x)*F_4(x))<br />
  
    Eq(F_33(x), F_34(x) + F_35(x))<br />
  
    Eq(F_34(x), x*(x - 2)*(F_34(x) + 1)**2 + (x + 1)*(F_34(x) + 1) + F_34(x) - 1)<br />
  
    Eq(F_35(x), F_17(x) + F_36(x))<br />
  
    Eq(F_36(x), F_37(x))<br />
  
    Eq(F_37(x), F_17(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x) + F_47(x))<br />
  
    Eq(F_39(x), F_17(x)*F_40(x))<br />
  
    Eq(F_40(x), F_41(x) + F_42(x))<br />
  
    Eq(F_41(x), x*(x - 2)*F_41(x)**2 + (x + 2)*F_41(x) - 1)<br />
  
    Eq(F_42(x), F_43(x))<br />
  
    Eq(F_43(x), F_17(x)*F_40(x)*F_44(x))<br />
  
    Eq(F_44(x), F_41(x) + F_45(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_17(x)*F_41(x)*F_44(x))<br />
  
    Eq(F_47(x), F_35(x) + F_48(x))<br />
  
    Eq(F_48(x), F_49(x))<br />
  
    Eq(F_49(x), F_17(x)*F_50(x))<br />
  
    Eq(F_50(x), F_51(x) + F_52(x))<br />
  
    Eq(F_51(x), F_44(x)*F_47(x))<br />
  
    Eq(F_52(x), F_40(x)*F_53(x))<br />
  
    Eq(F_53(x), F_35(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_17(x)*F_56(x))<br />
  
    Eq(F_56(x), F_57(x) + F_58(x))<br />
  
    Eq(F_57(x), F_35(x)*F_44(x))<br />
  
    Eq(F_58(x), F_41(x)*F_53(x))<br />
  
    Eq(F_59(x), F_2(x)*F_41(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_28(x) - F_62(x))<br />
  
    Eq(F_62(x), F_2(x) + F_31(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [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, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [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]], [[1, 0], [1, 2]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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[[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [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, 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{&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], 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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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 2], [1, 4], [2, 0], [2, 1], [2, 2], [2, 5]]]}}, &#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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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 6]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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, 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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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], &#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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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, 0], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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], [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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 3]], [[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;: 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1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2, 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{&#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, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 1], [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, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [2, 1], [2, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], 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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;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [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, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], 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[[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [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;: [[1, 1], [1, 1], 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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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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{&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 5]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#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], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], 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4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: [[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, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 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;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 8], [1, 6]], [[2, 1], [2, 2], [2, 5], [4, 0], [4, 3], [4, 4]], [[3, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 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, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 1], [0, 3]], [[1, 2]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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], &#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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;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, 1], [0, 2], [0, 4], [2, 0]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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.requirement_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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#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, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 4]], [[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, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 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, 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, 4]]}, {&#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;: [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;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 3]]}, {&#34;patt&#34;: 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#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, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [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, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [1, 2]]]}}, {&#34;class_module&#34;: 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4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [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, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [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;: 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4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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, 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]]}, 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[[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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;: [[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;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 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1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#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], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#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;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [1, 0], 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 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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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;Rule&#34;, &#34;comb_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, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;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;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [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], &#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;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 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, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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], &#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, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#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], [2, 0]]}, {&#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, 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;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#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], [2, 0]]}, {&#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, 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;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}]}<br /><br />

  Specification 2<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://www.permpal.com/tree/25069/<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[12,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[12,x]*F[8,x]<br />
  
    F[8,x] = F[13,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]*F[2,x]<br />
  
    F[10,x] = 1/F[12,x]*F[11,x]<br />
  
    F[11,x] = F[2,x]<br />
  
    F[12,x] = x<br />
  
    F[13,x] = F[14,x]<br />
  
    F[14,x] = F[0,x]^2*F[12,x]*F[15,x]<br />
  
    F[15,x] = 1/F[12,x]*F[16,x]<br />
  
    F[16,x] = F[17,x]<br />
  
    F[17,x] = F[10,x]*F[12,x]*F[18,x]<br />
  
    F[18,x] = 1/F[12,x]/F[4,x]*F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[21,x]+F[53,x]<br />
  
    F[21,x] = -F[52,x]+F[22,x]<br />
  
    F[22,x] = 1/F[12,x]*F[23,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = F[25,x]<br />
  
    F[25,x] = F[12,x]*F[26,x]*F[4,x]<br />
  
    F[26,x] = F[27,x]+F[28,x]<br />
  
    F[27,x] = (x*F[27,x]+x-2*F[27,x])*(x*F[27,x]+x-1)<br />
  
    F[28,x] = F[12,x]+F[29,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[12,x]*F[31,x]<br />
  
    F[31,x] = F[32,x]+F[40,x]<br />
  
    F[32,x] = F[12,x]*F[33,x]<br />
  
    F[33,x] = F[34,x]+F[35,x]<br />
  
    F[34,x] = -1+(x^2-2*x)*F[34,x]^2+(2+x)*F[34,x]<br />
  
    F[35,x] = F[36,x]<br />
  
    F[36,x] = F[12,x]*F[33,x]*F[37,x]<br />
  
    F[37,x] = F[34,x]+F[38,x]<br />
  
    F[38,x] = F[39,x]<br />
  
    F[39,x] = F[12,x]*F[34,x]*F[37,x]<br />
  
    F[40,x] = F[28,x]+F[41,x]<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = F[12,x]*F[43,x]<br />
  
    F[43,x] = F[44,x]+F[45,x]<br />
  
    F[44,x] = F[37,x]*F[40,x]<br />
  
    F[45,x] = F[33,x]*F[46,x]<br />
  
    F[46,x] = F[28,x]+F[47,x]<br />
  
    F[47,x] = F[48,x]<br />
  
    F[48,x] = F[12,x]*F[49,x]<br />
  
    F[49,x] = F[50,x]+F[51,x]<br />
  
    F[50,x] = F[28,x]*F[37,x]<br />
  
    F[51,x] = F[34,x]*F[46,x]<br />
  
    F[52,x] = F[2,x]*F[34,x]<br />
  
    F[53,x] = F[54,x]<br />
  
    F[54,x] = -F[55,x]+F[21,x]<br />
  
    F[55,x] = F[2,x]+F[24,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_{12}\! \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_{12}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = \frac{F_{11}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{11}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = x<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{12}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{12}\! \left(x \right) F_{4}\! \left(x \right)}<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = x^{2} F_{27} \left(x \right)^{2}+2 x^{2} F_{27}\! \left(x \right)-2 x F_{27} \left(x \right)^{2}+x^{2}-3 x F_{27}\! \left(x \right)-x +2 F_{27}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{12}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{12}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{40}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = x^{2} F_{34} \left(x \right)^{2}-2 x F_{34} \left(x \right)^{2}+F_{34}\! \left(x \right) x +2 F_{34}\! \left(x \right)-1<br />
  
    F_{35}\! \left(x \right) = F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{34}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{28}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{37}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{33}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{28}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{28}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{34}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{2}\! \left(x \right)+F_{24}\! \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_12(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_12(x)*F_8(x))<br />
  
    Eq(F_8(x), F_13(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x)*F_2(x))<br />
  
    Eq(F_10(x), F_11(x)/F_12(x))<br />
  
    Eq(F_11(x), F_2(x))<br />
  
    Eq(F_12(x), x)<br />
  
    Eq(F_13(x), F_14(x))<br />
  
    Eq(F_14(x), F_0(x)**2*F_12(x)*F_15(x))<br />
  
    Eq(F_15(x), F_16(x)/F_12(x))<br />
  
    Eq(F_16(x), F_17(x))<br />
  
    Eq(F_17(x), F_10(x)*F_12(x)*F_18(x))<br />
  
    Eq(F_18(x), F_19(x)/(F_12(x)*F_4(x)))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_21(x) + F_53(x))<br />
  
    Eq(F_21(x), F_22(x) - F_52(x))<br />
  
    Eq(F_22(x), F_23(x)/F_12(x))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_25(x))<br />
  
    Eq(F_25(x), F_12(x)*F_26(x)*F_4(x))<br />
  
    Eq(F_26(x), F_27(x) + F_28(x))<br />
  
    Eq(F_27(x), x*(x - 2)*(F_27(x) + 1)**2 + (x + 1)*(F_27(x) + 1) + F_27(x) - 1)<br />
  
    Eq(F_28(x), F_12(x) + F_29(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_12(x)*F_31(x))<br />
  
    Eq(F_31(x), F_32(x) + F_40(x))<br />
  
    Eq(F_32(x), F_12(x)*F_33(x))<br />
  
    Eq(F_33(x), F_34(x) + F_35(x))<br />
  
    Eq(F_34(x), x*(x - 2)*F_34(x)**2 + (x + 2)*F_34(x) - 1)<br />
  
    Eq(F_35(x), F_36(x))<br />
  
    Eq(F_36(x), F_12(x)*F_33(x)*F_37(x))<br />
  
    Eq(F_37(x), F_34(x) + F_38(x))<br />
  
    Eq(F_38(x), F_39(x))<br />
  
    Eq(F_39(x), F_12(x)*F_34(x)*F_37(x))<br />
  
    Eq(F_40(x), F_28(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_12(x)*F_43(x))<br />
  
    Eq(F_43(x), F_44(x) + F_45(x))<br />
  
    Eq(F_44(x), F_37(x)*F_40(x))<br />
  
    Eq(F_45(x), F_33(x)*F_46(x))<br />
  
    Eq(F_46(x), F_28(x) + F_47(x))<br />
  
    Eq(F_47(x), F_48(x))<br />
  
    Eq(F_48(x), F_12(x)*F_49(x))<br />
  
    Eq(F_49(x), F_50(x) + F_51(x))<br />
  
    Eq(F_50(x), F_28(x)*F_37(x))<br />
  
    Eq(F_51(x), F_34(x)*F_46(x))<br />
  
    Eq(F_52(x), F_2(x)*F_34(x))<br />
  
    Eq(F_53(x), F_54(x))<br />
  
    Eq(F_54(x), F_21(x) - F_55(x))<br />
  
    Eq(F_55(x), F_2(x) + F_24(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], 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0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], 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[2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [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]], [[1, 0], [1, 2]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 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, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 2]], [[2, 0], [2, 4], [2, 5], [2, 6]]]}}, &#34;idx&#34;: 2}, {&#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;: [[0, 4]]}, {&#34;patt&#34;: [0], 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[2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 6]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 0]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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, 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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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], &#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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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, 0], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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], [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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 3]], [[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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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, 0], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: [1, 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&#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.requirement_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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: 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[0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[0, 6]]}, {&#34;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, 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3], [2, 6], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [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;: [1, 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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 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, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 5]], [[2, 0], [2, 3], [2, 4], [2, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 8]], [[1, 6]], [[2, 1], [2, 2], [2, 5], [4, 0], [4, 3], [4, 4]], [[3, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 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, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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[1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], 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[[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, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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.requirement_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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#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, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 4]], [[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, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 0], [0, 1], [0, 4]], [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [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, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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;: 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&#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [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, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;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;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 6], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;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;: 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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;: [[0, 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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 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;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 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2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: 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1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], 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&#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;: [[0, 0], [2, 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;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [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, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [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, 2], [1, 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, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 0]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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, 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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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.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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: 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{&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;Rule&#34;, &#34;comb_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, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;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;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 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;, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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], &#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], [2, 0]]}, {&#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, 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], 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1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}]}<br /><br />

  Specification 3<br />
  Strategy pack name: point_placements_tracked_fusion<br />
  Tree: http://www.permpal.com/tree/25317/<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[17,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[17,x]*F[8,x]<br />
  
    F[8,x] = F[28,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]<br />
  
    F[10,x] = F[11,x]*F[17,x]<br />
  
    F[11,x] = 1/F[17,x]*F[12,x]<br />
  
    F[12,x] = F[13,x]<br />
  
    F[13,x] = F[14,x]+F[18,x]<br />
  
    F[14,x] = F[15,x]*F[2,x]<br />
  
    F[15,x] = 1/F[17,x]*F[16,x]<br />
  
    F[16,x] = F[2,x]<br />
  
    F[17,x] = x<br />
  
    F[18,x] = F[19,x]<br />
  
    F[19,x] = F[17,x]*F[20,x]*F[22,x]<br />
  
    F[20,x] = F[2,x]+F[21,x]<br />
  
    F[21,x] = F[0,x]*F[2,x]<br />
  
    F[22,x] = 1/F[0,x]^2/F[17,x]*F[23,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = -F[27,x]+F[25,x]<br />
  
    F[25,x] = 1/F[17,x]*F[26,x]<br />
  
    F[26,x] = F[5,x]<br />
  
    F[27,x] = F[0,x]*F[15,x]<br />
  
    F[28,x] = F[29,x]+F[41,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[17,x]*F[31,x]*F[4,x]<br />
  
    F[31,x] = F[32,x]+F[37,x]<br />
  
    F[32,x] = F[33,x,1]<br />
  
    F[34,x,k[0]] = F[33,x,k[0]]*F[36,x,k[0]]<br />
  
    F[34,x,k[0]] = F[35,x,k[0]]<br />
  
    F[35,x,k[0]] = (-1+x*(1+F[35,x,k[0]])*k[0])*(x*(1+F[35,x,k[0]])*k[0]-2*F[35,x,k[0]])<br />
  
    F[36,x,k[0]] = k[0]*x<br />
  
    F[37,x] = F[38,x]<br />
  
    F[38,x] = F[17,x]*F[39,x]<br />
  
    F[39,x] = F[40,x,1]<br />
  
    F[40,x,k[0]] = (F[33,x,k[0]]*k[0]-F[33,x,1])/(-1+k[0])<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = -F[43,x]+F[29,x]<br />
  
    F[43,x] = F[44,x]<br />
  
    F[44,x] = F[17,x]*F[4,x]*F[45,x]<br />
  
    F[45,x] = F[46,x]+F[47,x]<br />
  
    F[46,x] = -1+(x^2-2*x)*F[46,x]^2+(2+x)*F[46,x]<br />
  
    F[47,x] = F[48,x]<br />
  
    F[48,x] = F[17,x]*F[49,x]<br />
  
    F[49,x] = F[50,x,1]<br />
  
    F[50,x,k[0]] = (F[51,x,k[0]]*k[0]-F[51,x,1])/(-1+k[0])<br />
  
    F[51,x,k[0]] = x^2*F[51,x,k[0]]^2*k[0]^2-2*x*F[51,x,k[0]]^2*k[0]+x*F[51,x,k[0]]*k[0]+2*F[51,x,k[0]]-1<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_{17}\! \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_{17}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{28}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{17}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{16}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = x<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{0} \left(x \right)^{2} F_{17}\! \left(x \right)}<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{26}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{17}\! \left(x \right) F_{31}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x , 1\right)<br />
  
    F_{34}\! \left(x , y\right) = F_{33}\! \left(x , y\right) F_{36}\! \left(x , y\right)<br />
  
    F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)<br />
  
    F_{35}\! \left(x , y\right) = x^{2} F_{35}\! \left(x , y\right)^{2} y^{2}+2 x^{2} F_{35}\! \left(x , y\right) y^{2}+x^{2} y^{2}-2 x F_{35}\! \left(x , y\right)^{2} y -3 x F_{35}\! \left(x , y\right) y -y x +2 F_{35}\! \left(x , y\right)<br />
  
    F_{36}\! \left(x , y\right) = y x<br />
  
    F_{37}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{17}\! \left(x \right) F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x , 1\right)<br />
  
    F_{40}\! \left(x , y\right) = -\frac{-F_{33}\! \left(x , y\right) y +F_{33}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{41}\! \left(x \right) = F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \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) = x^{2} F_{46} \left(x \right)^{2}-2 x F_{46} \left(x \right)^{2}+F_{46}\! \left(x \right) x +2 F_{46}\! \left(x \right)-1<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{17}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x , 1\right)<br />
  
    F_{50}\! \left(x , y\right) = -\frac{-y F_{51}\! \left(x , y\right)+F_{51}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{51}\! \left(x , y\right) = x^{2} F_{51}\! \left(x , y\right)^{2} y^{2}-2 y x F_{51}\! \left(x , y\right)^{2}+x F_{51}\! \left(x , y\right) y +2 F_{51}\! \left(x , y\right)-1<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_17(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_17(x)*F_8(x))<br />
  
    Eq(F_8(x), F_28(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x))<br />
  
    Eq(F_10(x), F_11(x)*F_17(x))<br />
  
    Eq(F_11(x), F_12(x)/F_17(x))<br />
  
    Eq(F_12(x), F_13(x))<br />
  
    Eq(F_13(x), F_14(x) + F_18(x))<br />
  
    Eq(F_14(x), F_15(x)*F_2(x))<br />
  
    Eq(F_15(x), F_16(x)/F_17(x))<br />
  
    Eq(F_16(x), F_2(x))<br />
  
    Eq(F_17(x), x)<br />
  
    Eq(F_18(x), F_19(x))<br />
  
    Eq(F_19(x), F_17(x)*F_20(x)*F_22(x))<br />
  
    Eq(F_20(x), F_2(x) + F_21(x))<br />
  
    Eq(F_21(x), F_0(x)*F_2(x))<br />
  
    Eq(F_22(x), F_23(x)/(F_0(x)**2*F_17(x)))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_25(x) - F_27(x))<br />
  
    Eq(F_25(x), F_26(x)/F_17(x))<br />
  
    Eq(F_26(x), F_5(x))<br />
  
    Eq(F_27(x), F_0(x)*F_15(x))<br />
  
    Eq(F_28(x), F_29(x) + F_41(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_17(x)*F_31(x)*F_4(x))<br />
  
    Eq(F_31(x), F_32(x) + F_37(x))<br />
  
    Eq(F_32(x), F_33(x, 1))<br />
  
    Eq(F_34(x, k_0), F_33(x, k_0)*F_36(x, k_0))<br />
  
    Eq(F_34(x, k_0), F_35(x, k_0))<br />
  
    Eq(F_35(x, k_0), k_0*x*(k_0*x - 2)*(F_35(x, k_0) + 1)**2 + (k_0*x + 1)*(F_35(x, k_0) + 1) + F_35(x, k_0) - 1)<br />
  
    Eq(F_36(x, k_0), k_0*x)<br />
  
    Eq(F_37(x), F_38(x))<br />
  
    Eq(F_38(x), F_17(x)*F_39(x))<br />
  
    Eq(F_39(x), F_40(x, 1))<br />
  
    Eq(F_40(x, k_0), (-k_0*F_33(x, k_0) + F_33(x, 1))/(1 - k_0))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_29(x) - F_43(x))<br />
  
    Eq(F_43(x), F_44(x))<br />
  
    Eq(F_44(x), F_17(x)*F_4(x)*F_45(x))<br />
  
    Eq(F_45(x), F_46(x) + F_47(x))<br />
  
    Eq(F_46(x), x*(x - 2)*F_46(x)**2 + (x + 2)*F_46(x) - 1)<br />
  
    Eq(F_47(x), F_48(x))<br />
  
    Eq(F_48(x), F_17(x)*F_49(x))<br />
  
    Eq(F_49(x), F_50(x, 1))<br />
  
    Eq(F_50(x, k_0), (-k_0*F_51(x, k_0) + F_51(x, 1))/(1 - k_0))<br />
  
    Eq(F_51(x, k_0), k_0*x*(k_0*x - 2)*F_51(x, k_0)**2 + (k_0*x + 2)*F_51(x, k_0) - 1)<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_tracked_fusion&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.rearrange_assumption&#34;, &#34;strategy_class&#34;: &#34;RearrangeAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionFactory&#34;, &#34;tracked&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], 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0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], 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1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 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0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 3], [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, 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], [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, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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, 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{&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 1], [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, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [2, 1], [2, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [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], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 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&#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 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[2, 2], [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;: [[0, 3], [0, 3], [0, 4], [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, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 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, 1], [1, 4], [1, 1]]}, {&#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, 4], [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, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2], [2, 3], [2, 5]], [[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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#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;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#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], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 8], [1, 6]], [[2, 1], [2, 2], [2, 5], [4, 0], [4, 3], [4, 4]], [[3, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 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;: [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;: [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, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 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;: [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;: [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, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 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, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 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], [1, 4], [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, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 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1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 4], [1, 2]]}, 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2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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, 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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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;: [[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;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 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;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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;: [[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;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#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;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#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], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}}]}, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 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;: [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;: [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, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: null, &#34;col_idx&#34;: 0, &#34;tracked&#34;: true}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 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;: [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;: [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, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: null, &#34;col_idx&#34;: 0, &#34;tracked&#34;: true}}]}<br /><br />

  Specification 4<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://www.permpal.com/tree/25970/<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[17,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[17,x]*F[8,x]<br />
  
    F[8,x] = F[27,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]<br />
  
    F[10,x] = F[11,x]*F[17,x]<br />
  
    F[11,x] = 1/F[17,x]*F[12,x]<br />
  
    F[12,x] = F[13,x]<br />
  
    F[13,x] = F[14,x]+F[18,x]<br />
  
    F[14,x] = F[15,x]*F[2,x]<br />
  
    F[15,x] = 1/F[17,x]*F[16,x]<br />
  
    F[16,x] = F[2,x]<br />
  
    F[17,x] = x<br />
  
    F[18,x] = F[19,x]<br />
  
    F[19,x] = F[17,x]*F[20,x]*F[22,x]<br />
  
    F[20,x] = F[2,x]+F[21,x]<br />
  
    F[21,x] = F[0,x]*F[2,x]<br />
  
    F[22,x] = 1/F[17,x]*F[23,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = -F[13,x]+F[25,x]<br />
  
    F[25,x] = 1/F[17,x]*F[26,x]<br />
  
    F[26,x] = F[6,x]<br />
  
    F[27,x] = F[28,x]+F[60,x]<br />
  
    F[28,x] = -F[59,x]+F[29,x]<br />
  
    F[29,x] = 1/F[17,x]*F[30,x]<br />
  
    F[30,x] = F[31,x]<br />
  
    F[31,x] = F[32,x]<br />
  
    F[32,x] = F[17,x]*F[33,x]*F[4,x]<br />
  
    F[33,x] = F[34,x]+F[35,x]<br />
  
    F[34,x] = (x*F[34,x]+x-1)*(x*F[34,x]+x-2*F[34,x])<br />
  
    F[35,x] = F[17,x]+F[36,x]<br />
  
    F[36,x] = F[37,x]<br />
  
    F[37,x] = F[17,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]+F[47,x]<br />
  
    F[39,x] = F[17,x]*F[40,x]<br />
  
    F[40,x] = F[41,x]+F[42,x]<br />
  
    F[41,x] = -1+(x^2-2*x)*F[41,x]^2+(2+x)*F[41,x]<br />
  
    F[42,x] = F[43,x]<br />
  
    F[43,x] = F[17,x]*F[40,x]*F[44,x]<br />
  
    F[44,x] = F[41,x]+F[45,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[17,x]*F[41,x]*F[44,x]<br />
  
    F[47,x] = F[35,x]+F[48,x]<br />
  
    F[48,x] = F[49,x]<br />
  
    F[49,x] = F[17,x]*F[50,x]<br />
  
    F[50,x] = F[51,x]+F[52,x]<br />
  
    F[51,x] = F[44,x]*F[47,x]<br />
  
    F[52,x] = F[40,x]*F[53,x]<br />
  
    F[53,x] = F[35,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[17,x]*F[56,x]<br />
  
    F[56,x] = F[57,x]+F[58,x]<br />
  
    F[57,x] = F[35,x]*F[44,x]<br />
  
    F[58,x] = F[41,x]*F[53,x]<br />
  
    F[59,x] = F[2,x]*F[41,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = -F[62,x]+F[28,x]<br />
  
    F[62,x] = F[2,x]+F[31,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_{17}\! \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_{17}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{27}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{17}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{16}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = x<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = -F_{13}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{26}\! \left(x \right) = F_{6}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{17}\! \left(x \right)}<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{17}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = x^{2} F_{34} \left(x \right)^{2}+2 x^{2} F_{34}\! \left(x \right)-2 x F_{34} \left(x \right)^{2}+x^{2}-3 x F_{34}\! \left(x \right)-x +2 F_{34}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{17}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{17}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = x^{2} F_{41} \left(x \right)^{2}-2 x F_{41} \left(x \right)^{2}+F_{41}\! \left(x \right) x +2 F_{41}\! \left(x \right)-1<br />
  
    F_{42}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{41}\! \left(x \right)+F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{17}\! \left(x \right) F_{41}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{35}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{17}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{44}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{40}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{35}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{17}\! \left(x \right) F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{35}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{41}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{2}\! \left(x \right) F_{41}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \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_17(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_17(x)*F_8(x))<br />
  
    Eq(F_8(x), F_27(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x))<br />
  
    Eq(F_10(x), F_11(x)*F_17(x))<br />
  
    Eq(F_11(x), F_12(x)/F_17(x))<br />
  
    Eq(F_12(x), F_13(x))<br />
  
    Eq(F_13(x), F_14(x) + F_18(x))<br />
  
    Eq(F_14(x), F_15(x)*F_2(x))<br />
  
    Eq(F_15(x), F_16(x)/F_17(x))<br />
  
    Eq(F_16(x), F_2(x))<br />
  
    Eq(F_17(x), x)<br />
  
    Eq(F_18(x), F_19(x))<br />
  
    Eq(F_19(x), F_17(x)*F_20(x)*F_22(x))<br />
  
    Eq(F_20(x), F_2(x) + F_21(x))<br />
  
    Eq(F_21(x), F_0(x)*F_2(x))<br />
  
    Eq(F_22(x), F_23(x)/F_17(x))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), -F_13(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x)/F_17(x))<br />
  
    Eq(F_26(x), F_6(x))<br />
  
    Eq(F_27(x), F_28(x) + F_60(x))<br />
  
    Eq(F_28(x), F_29(x) - F_59(x))<br />
  
    Eq(F_29(x), F_30(x)/F_17(x))<br />
  
    Eq(F_30(x), F_31(x))<br />
  
    Eq(F_31(x), F_32(x))<br />
  
    Eq(F_32(x), F_17(x)*F_33(x)*F_4(x))<br />
  
    Eq(F_33(x), F_34(x) + F_35(x))<br />
  
    Eq(F_34(x), x*(x - 2)*(F_34(x) + 1)**2 + (x + 1)*(F_34(x) + 1) + F_34(x) - 1)<br />
  
    Eq(F_35(x), F_17(x) + F_36(x))<br />
  
    Eq(F_36(x), F_37(x))<br />
  
    Eq(F_37(x), F_17(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x) + F_47(x))<br />
  
    Eq(F_39(x), F_17(x)*F_40(x))<br />
  
    Eq(F_40(x), F_41(x) + F_42(x))<br />
  
    Eq(F_41(x), x*(x - 2)*F_41(x)**2 + (x + 2)*F_41(x) - 1)<br />
  
    Eq(F_42(x), F_43(x))<br />
  
    Eq(F_43(x), F_17(x)*F_40(x)*F_44(x))<br />
  
    Eq(F_44(x), F_41(x) + F_45(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_17(x)*F_41(x)*F_44(x))<br />
  
    Eq(F_47(x), F_35(x) + F_48(x))<br />
  
    Eq(F_48(x), F_49(x))<br />
  
    Eq(F_49(x), F_17(x)*F_50(x))<br />
  
    Eq(F_50(x), F_51(x) + F_52(x))<br />
  
    Eq(F_51(x), F_44(x)*F_47(x))<br />
  
    Eq(F_52(x), F_40(x)*F_53(x))<br />
  
    Eq(F_53(x), F_35(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_17(x)*F_56(x))<br />
  
    Eq(F_56(x), F_57(x) + F_58(x))<br />
  
    Eq(F_57(x), F_35(x)*F_44(x))<br />
  
    Eq(F_58(x), F_41(x)*F_53(x))<br />
  
    Eq(F_59(x), F_2(x)*F_41(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_28(x) - F_62(x))<br />
  
    Eq(F_62(x), F_2(x) + F_31(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [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, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [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]], [[1, 0], [1, 2]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [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, 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{&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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, 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;: 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{&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 2], [1, 4], [2, 0], [2, 1], [2, 2], [2, 5]]]}}, &#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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[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], 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3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 6]]]}}, &#34;idx&#34;: 0}, 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{&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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], &#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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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, 0], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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], [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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 3]], [[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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 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1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, 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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;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [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], [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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 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4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: [[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, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 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;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 8], [1, 6]], [[2, 1], [2, 2], [2, 5], [4, 0], [4, 3], [4, 4]], [[3, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 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, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 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&#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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: 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1]]}, {&#34;patt&#34;: [1, 3, 2, 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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], 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&#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 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, 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, 4]]}, {&#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;: [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;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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.requirement_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, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#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, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [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, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [1, 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, 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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 0], [0, 1], [0, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [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, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], 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{&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0]]}, {&#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;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#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], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [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, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 5]]}, {&#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], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 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3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [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, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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, 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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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;: [[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;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, 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[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;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 4], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#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;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#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], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#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;: 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4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: [[0, 0], [2, 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;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 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2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 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4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 0]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 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{&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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.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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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&#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], 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4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;Rule&#34;, &#34;comb_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, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;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;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [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], &#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;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 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, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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;: 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#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], [2, 0]]}, {&#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, 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;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#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], [2, 0]]}, {&#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, 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;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}]}<br /><br />

  Specification 5<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://www.permpal.com/tree/25977/<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[12,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[12,x]*F[8,x]<br />
  
    F[8,x] = F[13,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]*F[2,x]<br />
  
    F[10,x] = 1/F[12,x]*F[11,x]<br />
  
    F[11,x] = F[2,x]<br />
  
    F[12,x] = x<br />
  
    F[13,x] = F[14,x]<br />
  
    F[14,x] = F[0,x]^2*F[12,x]*F[15,x]<br />
  
    F[15,x] = 1/F[12,x]*F[16,x]<br />
  
    F[16,x] = F[17,x]<br />
  
    F[17,x] = F[10,x]*F[12,x]*F[18,x]<br />
  
    F[18,x] = 1/F[12,x]/F[4,x]*F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[21,x]+F[53,x]<br />
  
    F[21,x] = -F[52,x]+F[22,x]<br />
  
    F[22,x] = 1/F[12,x]*F[23,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = F[25,x]<br />
  
    F[25,x] = F[12,x]*F[26,x]*F[4,x]<br />
  
    F[26,x] = F[27,x]+F[28,x]<br />
  
    F[27,x] = (x*F[27,x]+x-2*F[27,x])*(x*F[27,x]+x-1)<br />
  
    F[28,x] = F[12,x]+F[29,x]<br />
  
    F[29,x] = F[30,x]<br />
  
    F[30,x] = F[12,x]*F[31,x]<br />
  
    F[31,x] = F[32,x]+F[40,x]<br />
  
    F[32,x] = F[12,x]*F[33,x]<br />
  
    F[33,x] = F[34,x]+F[35,x]<br />
  
    F[34,x] = -1+(x^2-2*x)*F[34,x]^2+(2+x)*F[34,x]<br />
  
    F[35,x] = F[36,x]<br />
  
    F[36,x] = F[12,x]*F[33,x]*F[37,x]<br />
  
    F[37,x] = F[34,x]+F[38,x]<br />
  
    F[38,x] = F[39,x]<br />
  
    F[39,x] = F[12,x]*F[34,x]*F[37,x]<br />
  
    F[40,x] = F[28,x]+F[41,x]<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = F[12,x]*F[43,x]<br />
  
    F[43,x] = F[44,x]+F[45,x]<br />
  
    F[44,x] = F[37,x]*F[40,x]<br />
  
    F[45,x] = F[33,x]*F[46,x]<br />
  
    F[46,x] = F[28,x]+F[47,x]<br />
  
    F[47,x] = F[48,x]<br />
  
    F[48,x] = F[12,x]*F[49,x]<br />
  
    F[49,x] = F[50,x]+F[51,x]<br />
  
    F[50,x] = F[28,x]*F[37,x]<br />
  
    F[51,x] = F[34,x]*F[46,x]<br />
  
    F[52,x] = F[2,x]*F[34,x]<br />
  
    F[53,x] = F[54,x]<br />
  
    F[54,x] = -F[55,x]+F[21,x]<br />
  
    F[55,x] = F[2,x]+F[24,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_{12}\! \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_{12}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = \frac{F_{11}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{11}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = x<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{12}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{12}\! \left(x \right) F_{4}\! \left(x \right)}<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = x^{2} F_{27} \left(x \right)^{2}+2 x^{2} F_{27}\! \left(x \right)-2 x F_{27} \left(x \right)^{2}+x^{2}-3 x F_{27}\! \left(x \right)-x +2 F_{27}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{12}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{12}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{40}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = x^{2} F_{34} \left(x \right)^{2}-2 x F_{34} \left(x \right)^{2}+F_{34}\! \left(x \right) x +2 F_{34}\! \left(x \right)-1<br />
  
    F_{35}\! \left(x \right) = F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{34}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{28}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{37}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{33}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{28}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{28}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{34}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{2}\! \left(x \right)+F_{24}\! \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_12(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_12(x)*F_8(x))<br />
  
    Eq(F_8(x), F_13(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x)*F_2(x))<br />
  
    Eq(F_10(x), F_11(x)/F_12(x))<br />
  
    Eq(F_11(x), F_2(x))<br />
  
    Eq(F_12(x), x)<br />
  
    Eq(F_13(x), F_14(x))<br />
  
    Eq(F_14(x), F_0(x)**2*F_12(x)*F_15(x))<br />
  
    Eq(F_15(x), F_16(x)/F_12(x))<br />
  
    Eq(F_16(x), F_17(x))<br />
  
    Eq(F_17(x), F_10(x)*F_12(x)*F_18(x))<br />
  
    Eq(F_18(x), F_19(x)/(F_12(x)*F_4(x)))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_21(x) + F_53(x))<br />
  
    Eq(F_21(x), F_22(x) - F_52(x))<br />
  
    Eq(F_22(x), F_23(x)/F_12(x))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_25(x))<br />
  
    Eq(F_25(x), F_12(x)*F_26(x)*F_4(x))<br />
  
    Eq(F_26(x), F_27(x) + F_28(x))<br />
  
    Eq(F_27(x), x*(x - 2)*(F_27(x) + 1)**2 + (x + 1)*(F_27(x) + 1) + F_27(x) - 1)<br />
  
    Eq(F_28(x), F_12(x) + F_29(x))<br />
  
    Eq(F_29(x), F_30(x))<br />
  
    Eq(F_30(x), F_12(x)*F_31(x))<br />
  
    Eq(F_31(x), F_32(x) + F_40(x))<br />
  
    Eq(F_32(x), F_12(x)*F_33(x))<br />
  
    Eq(F_33(x), F_34(x) + F_35(x))<br />
  
    Eq(F_34(x), x*(x - 2)*F_34(x)**2 + (x + 2)*F_34(x) - 1)<br />
  
    Eq(F_35(x), F_36(x))<br />
  
    Eq(F_36(x), F_12(x)*F_33(x)*F_37(x))<br />
  
    Eq(F_37(x), F_34(x) + F_38(x))<br />
  
    Eq(F_38(x), F_39(x))<br />
  
    Eq(F_39(x), F_12(x)*F_34(x)*F_37(x))<br />
  
    Eq(F_40(x), F_28(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_12(x)*F_43(x))<br />
  
    Eq(F_43(x), F_44(x) + F_45(x))<br />
  
    Eq(F_44(x), F_37(x)*F_40(x))<br />
  
    Eq(F_45(x), F_33(x)*F_46(x))<br />
  
    Eq(F_46(x), F_28(x) + F_47(x))<br />
  
    Eq(F_47(x), F_48(x))<br />
  
    Eq(F_48(x), F_12(x)*F_49(x))<br />
  
    Eq(F_49(x), F_50(x) + F_51(x))<br />
  
    Eq(F_50(x), F_28(x)*F_37(x))<br />
  
    Eq(F_51(x), F_34(x)*F_46(x))<br />
  
    Eq(F_52(x), F_2(x)*F_34(x))<br />
  
    Eq(F_53(x), F_54(x))<br />
  
    Eq(F_54(x), F_21(x) - F_55(x))<br />
  
    Eq(F_55(x), F_2(x) + F_24(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [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, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 6]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 0]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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, 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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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], &#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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, 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0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 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], [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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 3]], [[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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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, 0], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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0]]}, {&#34;patt&#34;: [0], &#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, 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, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [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, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [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, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [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, 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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [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, 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], [2, 0], [2, 2], [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;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 8]], [[1, 6]], [[2, 1], [2, 2], [2, 5], [4, 0], [4, 3], [4, 4]], [[3, 7]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [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], [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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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&#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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.requirement_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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{&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#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, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 4]], [[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, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 0], [0, 1], [0, 4]], [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, 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&#34;requirements&#34;: [[{&#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#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, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: false, &#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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&#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#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, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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, 0], [0, 3]], [[1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 4]]}, {&#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;: [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;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 5], [2, 0], [2, 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, 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, 4]]}, {&#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;: [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;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[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, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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&#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 6], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 6], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;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;: 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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;: [[0, 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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], 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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;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, 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&#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: 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1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#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]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], 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[0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 6], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 6], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: 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1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [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, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], 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[2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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], 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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.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;: 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0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 4, 1, 0, 3], &#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;Rule&#34;, &#34;comb_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, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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], [2, 0]]}, {&#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;: [[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, 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, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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;: [[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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;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;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 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, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#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, 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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: 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{&#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, 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;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: 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{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 3, 0], &#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], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 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.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 4, 0, 1, 3], [2, 4, 0, 3, 1], [2, 4, 1, 0, 3]], &#34;symmetry&#34;: false}}]}<br /><br />