01342_01423_01432_10342_10423_10432_14023_14032_14203<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 111, 548, 2806, 14722, 78632, 425831, 2331857, 12887116, 71776112, 402441195, 2269621309, 12865790299, 73267183677, 418958818901, 2404653173775, 13848671920969, 80004333928242, 463510762665992, 2692473758703363, 15678477760984286, 91504344947746896, 535176997925701998, 3136247146424363966, 18413030088063254867, 108291027033523433224, 637920298723546150341, 3763617930012974475583, 22236768458293876145014, 131561803729694961185067, 779377175164196047507495, 4622697332582082681039697, 27450203752973807581998221, 163182079218988159753560746, 971074159028508292382929219, 5784466447167103486024389430, 34489320014878902429872825822, 205824561801672328196946242675, 1229371380206759501868801795300, 7348954834539517433733980313358, 43965189837008197870220418982529, 263219776035256305846259538031602, 1577031839476887011063480574679014, 9455006244722684177894084161844009, 56724462312918303080062698612930372, 340529447944862026526939971135277744, 2045520551857535434591630809148593297, 12294409835051352632292671014443309439, 73936099914119495885646945097376919352, 444878355977641073533924862864571537688, 2678263291682280089672037435618474922484, 16131855972803543461575907853887537198869, 97213533085126355027779610403633624789473, 586101846803297202202112076214924206761036, 3535219976826502823213589431436267266069842, 21332912516049761118908726595852312001995894, 128785779548845980834907823195773617653819030, 777792437447097684826227696069935352362811663, 4699285713485034715913428027595051463143279204, 28403173475365801637578249331691655002362723726, 171736879341575517278653165064726593074781664178, 1038764247835429444551590062961826997866385891215, 6285247882395284368455950033516120239230334249345, 38043046780139723618615118664470893717657918475071, 230341032141058748012736559742018857750223701576844, 1395103155488083666185457182379964791390561666926215, 8452328428067787279858123736741147051739112883896029, 51224489484121126868023667152447869218411422273319038, 310532103290492682049090407616337605587691483976475486, 1883039672728555591305994791207575465483137473580506991, 11421764020547639422618672370587919083825732132204005155, 69298594550593675528580111588698010199702928728579926004, 420562077851903309637867430145314579151292658627498294375, 2552979109725123105933016553240617376900228520079278097558, 15501474989277344184881127968815695090613362986621702719554, 94146601903321245915592125035028992502947639313050624837704, 571925540712245911394939422388957629640517227755589011459937, 3475161578815982945126398870937165498501964104403629233534196, 21120720341746711611654002360892557341221480929574554373319023, 128392098481388559438598144709150469763225503843111685336854042, 780659111721450673622300121739081393098302067077506883943357806, 4747619798580150940032465508849980620766299148049319915388568366, 28878835027779483799540142228420412766779500099466993497115517579, 175699527673631250663750866060297673726390271111480121796367602180, 1069169898327448256825035628467970627905579345079521792616403737973, 6507379604724222882601333656543903466816884079474306633589747359263, 39613845108463875826144163120197053323928075367252739386370910084319, 241194557995036429432416530204029830299081595243915501959885321751953, 1468811034880014758012832619815638812566475388027953055389942240845136, 8946240907872407241561175507720562193976873485940990491791134690328430, 54499167560353272435140017840903935244148907239824022384569695732143636, 332056659840458917569190306876520780388022152379666322615999673255789022, 2023513216727219838752525024150866221265932753874985311042866250885191995, 12333034449537238234574074383869440212175489304048628178806432856124622250, 75180024465632337222886753839302067164515229650233005812700388091840778934, 458355253009090124416846835565983691154873640694196662568214648318915021024, 2794910146322574886793913000404628198022312344940810066296092492092768601215<br /><br />








Implicit equation for the generating function in Maple syntax:<br />
x^2*(2*x^2-5*x+4)*(x-2)^3*F(x)^9+x^2*(x^5-4*x^4+x^3+34*x^2-71*x+48)*(x-2)^2*F(x)^8-x*(x-2)*(2*x^7-21*x^6+62*x^5-26*x^4-232*x^3+459*x^2-290*x+12)*F(x)^7+x*(x^8-23*x^7+154*x^6-395*x^5+215*x^4+908*x^3-1840*x^2+1184*x-132)*F(x)^6+(6*x^8-85*x^7+379*x^6-556*x^5-340*x^4+1771*x^3-1596*x^2+324*x-4)*F(x)^5+(15*x^7-150*x^6+436*x^5-169*x^4-1015*x^3+1420*x^2-460*x+20)*F(x)^4+(20*x^6-140*x^5+216*x^4+267*x^3-780*x^2+400*x-40)*F(x)^3+(15*x^5-67*x^4+9*x^3+228*x^2-204*x+40)*F(x)^2+(6*x^4-13*x^3-24*x^2+52*x-20)*F(x)+x^3-4*x+4 = 0<br /><br />



Implicit equation for the generating function in latex syntax:<br />
x^{2} \left(2 x^{2}-5 x +4\right) \left(x -2\right)^{3} F \! \left(x \right)^{9}+x^{2} \left(x^{5}-4 x^{4}+x^{3}+34 x^{2}-71 x +48\right) \left(x -2\right)^{2} F \! \left(x \right)^{8}-x \left(x -2\right) \left(2 x^{7}-21 x^{6}+62 x^{5}-26 x^{4}-232 x^{3}+459 x^{2}-290 x +12\right) F \! \left(x \right)^{7}+x \left(x^{8}-23 x^{7}+154 x^{6}-395 x^{5}+215 x^{4}+908 x^{3}-1840 x^{2}+1184 x -132\right) F \! \left(x \right)^{6}+\left(6 x^{8}-85 x^{7}+379 x^{6}-556 x^{5}-340 x^{4}+1771 x^{3}-1596 x^{2}+324 x -4\right) F \! \left(x \right)^{5}+\left(15 x^{7}-150 x^{6}+436 x^{5}-169 x^{4}-1015 x^{3}+1420 x^{2}-460 x +20\right) F \! \left(x \right)^{4}+\left(20 x^{6}-140 x^{5}+216 x^{4}+267 x^{3}-780 x^{2}+400 x -40\right) F \! \left(x \right)^{3}+\left(15 x^{5}-67 x^{4}+9 x^{3}+228 x^{2}-204 x +40\right) F \! \left(x \right)^{2}+\left(6 x^{4}-13 x^{3}-24 x^{2}+52 x -20\right) F \! \left(x \right)+x^{3}-4 x +4 = 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) = 548<br />
    
      a(7) = 2806<br />
    
      a(8) = 14722<br />
    
      a(9) = 78632<br />
    
      a(10) = 425831<br />
    
      a(11) = 2331857<br />
    
      a(12) = 12887116<br />
    
      a(13) = 71776112<br />
    
      a(14) = 402441195<br />
    
      a(15) = 2269621309<br />
    
      a(16) = 12865790299<br />
    
      a(17) = 73267183677<br />
    
      a(18) = 418958818901<br />
    
      a(19) = 2404653173775<br />
    
      a(20) = 13848671920969<br />
    
      a(21) = 80004333928242<br />
    
      a(22) = 463510762665992<br />
    
      a(23) = 2692473758703363<br />
    
      a(24) = 15678477760984286<br />
    
      a(25) = 91504344947746896<br />
    
      a(26) = 535176997925701998<br />
    
      a(27) = 3136247146424363966<br />
    
      a(28) = 18413030088063254867<br />
    
      a(29) = 108291027033523433224<br />
    
      a(30) = 637920298723546150341<br />
    
      a(31) = 3763617930012974475583<br />
    
      a(32) = 22236768458293876145014<br />
    
      a(33) = 131561803729694961185067<br />
    
      a(34) = 779377175164196047507495<br />
    
      a(35) = 4622697332582082681039697<br />
    
      a(36) = 27450203752973807581998221<br />
    
      a(37) = 163182079218988159753560746<br />
    
      a(38) = 971074159028508292382929219<br />
    
      a(39) = 5784466447167103486024389430<br />
    
      a(40) = 34489320014878902429872825822<br />
    
      a(41) = 205824561801672328196946242675<br />
    
      a(42) = 1229371380206759501868801795300<br />
    
      a(43) = 7348954834539517433733980313358<br />
    
      a(44) = 43965189837008197870220418982529<br />
    
      a(45) = 263219776035256305846259538031602<br />
    
      a(46) = 1577031839476887011063480574679014<br />
    
      a(47) = 9455006244722684177894084161844009<br />
    
      a(48) = 56724462312918303080062698612930372<br />
    
      a(49) = 340529447944862026526939971135277744<br />
    
      a(50) = 2045520551857535434591630809148593297<br />
    
      a(51) = 12294409835051352632292671014443309439<br />
    
      a(52) = 73936099914119495885646945097376919352<br />
    
      a(53) = 444878355977641073533924862864571537688<br />
    
      a(54) = 2678263291682280089672037435618474922484<br />
    
      a(55) = 16131855972803543461575907853887537198869<br />
    
      a(56) = 97213533085126355027779610403633624789473<br />
    
      a(57) = 586101846803297202202112076214924206761036<br />
    
      a(58) = 3535219976826502823213589431436267266069842<br />
    
      a(59) = 21332912516049761118908726595852312001995894<br />
    
      a(60) = 128785779548845980834907823195773617653819030<br />
    
      a(61) = 777792437447097684826227696069935352362811663<br />
    
      a(62) = 4699285713485034715913428027595051463143279204<br />
    
      a(63) = 28403173475365801637578249331691655002362723726<br />
    
      a(64) = 171736879341575517278653165064726593074781664178<br />
    
      a(65) = 1038764247835429444551590062961826997866385891215<br />
    
      a(66) = 6285247882395284368455950033516120239230334249345<br />
    
      a(67) = 38043046780139723618615118664470893717657918475071<br />
    
      a(68) = 230341032141058748012736559742018857750223701576844<br />
    
      a(69) = 1395103155488083666185457182379964791390561666926215<br />
    
      a(70) = 8452328428067787279858123736741147051739112883896029<br />
    
      a(71) = 51224489484121126868023667152447869218411422273319038<br />
    
      a(72) = 310532103290492682049090407616337605587691483976475486<br />
    
      a(73) = 1883039672728555591305994791207575465483137473580506991<br />
    
      a(74) = 11421764020547639422618672370587919083825732132204005155<br />
    
      a(75) = 69298594550593675528580111588698010199702928728579926004<br />
    
      a(76) = 420562077851903309637867430145314579151292658627498294375<br />
    
      a(77) = 2552979109725123105933016553240617376900228520079278097558<br />
    
      a(78) = 15501474989277344184881127968815695090613362986621702719554<br />
    
      a(79) = 94146601903321245915592125035028992502947639313050624837704<br />
    
      a(80) = 571925540712245911394939422388957629640517227755589011459937<br />
    
      a(81) = 3475161578815982945126398870937165498501964104403629233534196<br />
    
      a(82) = 21120720341746711611654002360892557341221480929574554373319023<br />
    
      a(83) = 128392098481388559438598144709150469763225503843111685336854042<br />
    
      a(84) = 780659111721450673622300121739081393098302067077506883943357806<br />
    
      a(85) = 4747619798580150940032465508849980620766299148049319915388568366<br />
    
      a(86) = 28878835027779483799540142228420412766779500099466993497115517579<br />
    
      a(87) = 175699527673631250663750866060297673726390271111480121796367602180<br />
    
      a(88) = 1069169898327448256825035628467970627905579345079521792616403737973<br />
    
      a(89) = 6507379604724222882601333656543903466816884079474306633589747359263<br />
    
      a(90) = 39613845108463875826144163120197053323928075367252739386370910084319<br />
    
      a(91) = 241194557995036429432416530204029830299081595243915501959885321751953<br />
    
      a(92) = 1468811034880014758012832619815638812566475388027953055389942240845136<br />
    
      a(93) = 8946240907872407241561175507720562193976873485940990491791134690328430<br />
    
      a(94) = 54499167560353272435140017840903935244148907239824022384569695732143636<br />
    
      a(95) = 332056659840458917569190306876520780388022152379666322615999673255789022<br />
    
      a(96) = 2023513216727219838752525024150866221265932753874985311042866250885191995<br />
    
      a(97) = 12333034449537238234574074383869440212175489304048628178806432856124622250<br />
    
      a(98) = 75180024465632337222886753839302067164515229650233005812700388091840778934<br />
    
      a(99) = 458355253009090124416846835565983691154873640694196662568214648318915021024<br />
    
      a(100) = 2794910146322574886793913000404628198022312344940810066296092492092768601215<br />
    
      a(101) = 17045041757998665503473815293092828642781336517931990097578147015794038258419<br />
    
      a(102) = 103966064326582006099808618803708267906547156682058458404100114704385664012931<br />
    
      a(103) = 634230646407743232823550826854991600317714556097309850256706357036342021005642<br />
    
      a(104) = 3869579148253589675505697943409016404033525572525943506439937199110623801698703<br />
    
      a(105) = 23612391500439992924635691977221649090294023474319619299428148134646318132278055<br />
    
      a(106) = 144103596440022371470752917057326262721676158299472867788865782498089333159793276<br />
    
      a(107) = 879563445055434301146353201761216793520398908229900590947107000305832841639843567<br />
    
      a(108) = 5369278927030687543471887807973219140119723716017802061734996201063561162331564305<br />
    
      a(109) = 32780846604935476867734091007778630504188636508727140517361912387954601561453986839<br />
    
      a(110) = 200160678174041577836024380939860929286186665608532694162287162217591608938097844159<br />
    
      a(111) = 1222336498420668221018662113980234006354304021326378320624410644635935442779918840217<br />
    
      a(112) = 7465437419600879596298575854816010112715433220370758044057340656808658006683483969017<br />
    
      a(113) = 45600675207052683680522420586407614229300921479191762519898388594794724004306772496353<br />
    
      a(114) = 278572291981944054573395893295459957959679921908019625727526693483426862644551020964098<br />
    
      a(115) = 1701979444960937633391344609204663213860081705731053089337323755811050916768187386455692<br />
    
      a(116) = 10399670877340284506184097711807698282630971182365260040066194516788606969152497186340173<br />
    
      a(117) = 63552543233844149336259594614819403158345348950853615623528820236000671074212766886718791<br />
    
      a(118) = 388412783047459741162782765681376550725087000393722589324761488269900759234810672775353471<br />
    
      a(119) = 2374108376233828708967792674712655842739863635489340350429590286791959656928312821886294843<br />
    
      a(120) = 14512867745829557937685938380196399392975483226405352601971142462247539201553397101352772101<br />
    
      a(121) = 88725989469723833674983561964068731774454549773758014761991739323656062659102650195567002267<br />
    
      a(122) = 542491133824217520698666639393783351578128666597338812089815919113055812464908372181468167420<br />
    
      a(123) = 3317247681432580226455843305700891497527043242290490436373232223297877117467997904638517432862<br />
    
      a(124) = 20286443396573506561745779478187115506656907767538772186257272148460233775497672022724991816417<br />
    
      a(125) = 124072634305156750491117968133602952900607487695159405672610313012807438088391853202483972828728<br />
    
      a(126) = 758905150385354926736670504890541214258169454032472299083907837972450739451271977442049111007442<br />
    
      a(127) = 4642370011179665147310711137832811729001952675017141854807034950609026472375094830318550895578924<br />
    
      a(128) = 28400901254243036622778313233926567811648048776973808313308276523290905702525247210794136956502883<br />
    
      a(129) = 173765673209174242228345200475830212368523838594883209980778900818944108113320451421562515875346875<br />
    
      a(130) = 1063248406291598464371593605431343127750935525065683730826498207505934114185942123050039234845474479<br />
    
      a(131) = 6506445366109468269352814546432363742016672285795510743860346137733990459396334812170131780159821966<br />
    
      a(132) = 39819018217018317963621751743135924291891894571857143419747145277191800061462177118118987111078211356<br />
    
      a(133) = 243710619833472761710216658676586098063406802342531002574499497014273711665593880420693682452164887779<br />
    
      a(134) = 1491746240737094520363060338691660337913122545732938710216511869376116716067359031278775984186829297799<br />
    
      a(135) = 9131697133400643513445786778038792977061445799179385026022829732965030397598302198152823568692031740413<br />
    
      a(136) = 55904087715076225303461595894233764292364925684953652896270660377674067108157992151414994962639641126752<br />
    
      a(137) = 342271415131608901304066472747052337455407988003638330745091766558406345332727091005979012097079328632953<br />
    
      a(138) = 2095714840416539027114155129791060743743572872572892685462338110888353734413100001512979553012950067814358<br />
    
      a(139) = 12832986671338607037739847024454990118391208709186468671125029644752663606058755838363846417619556684685271<br />
    
      a(140) = 78588103395523949237059149680740497078857757151819368148270373025381425805979203971429016113323022418787695<br />
    
      a(141) = 481303375238328539535586545258415561403957687338781744140983117895715818788017127415501325274869327529652822<br />
    
      a(142) = 2947905626059948254677114476599373154015928326680861783724123617537593418253595487608368444990549966165110912<br />
    
      a(143) = 18056782141286180932345278706784302044837055296318133213599804879931845233662210309242168603660322405893337484<br />
    
      a(144) = 110611124601979104024072868988670733031679669468186808236326458737617896770544538704285776764123863682869423871<br />
    
      a(145) = 677623545353674899162342130975515217946871707354781082549729444900927830061913880976311724911424750140383062523<br />
    
      a(146) = 4151537551420747757996354436583151290413552567212562069168548062632706297129122386143970085942534360854905018182<br />
    
      a(147) = 25436645434036917157785386389958463275437051227975729023181124912878547792294463374184424696496633206026551681077<br />
    
      a(148) = 155862154252382171700055378531000389212754738733891620747048759652635592279377045405058948151873188881691541315925<br />
    
      a(149) = 955104921226379675957681555302372975131199711411136363317381462016642735311005587409860087563913116358502838998657<br />
    
      a(150) = 5853163647182322294713765931076965073774943314717221820945162774048683777982203450749609712018677121574471854748932<br />
    
      a(151) = 35872284844054505614489016102937581441274588447982568792611157968109429755976417620276192354896633196150871654554557<br />
    
      a(152) = 219864859360144251551102843149723367574443561178271019150105461360752765442950072133911932677570729613947569407164144<br />
    
      a(153) = 1347660948097200798301644026079590825929725886962986587152479700591400306626214124794896489746066344620953224075347749<br />
    
      a(154) = 8261009839936427333950524153984728266417190265674069146534047897170276201655172264587250592080918717977000815253055237<br />
    
      a(155) = 50642245262444636041940349760422765996850077225782096286787815828426850358647375680288753742054874225661915101716597786<br />
    
      a(156) = 310470064333908171980110054518310232180870682604319736314088078300236242710115026342907395623904748269589514136383168110<br />
    
      a(157) = 1903501108880355533969578127501621176485338312360131153186233814282523058226167883769276707093250165941296085749184931732<br />
    
      a(158) = 11671127743615196616445839264710896184543161890754071998359211876579605366261493058415370248240580419286333359653111321914<br />
    
      a(159) = 71564635909731655489375781515909127517703809916175585284002046667024916127151072925614913944152914137306240222693760122729<br />
    
      a(160) = 438843570885986541503074263971062693781556035465009692378142623027751797547608684010996355868174452596424086178966257901075<br />
    
      a(161) = 2691202183659250636888044418803519092887981864933471446512933821212466776490937456422225082023385714484683344990150219036688<br />
    
      a(162) = 16504710545748101222647233902081500202808388053536934924783639347638865374787706440812857980059419276507267760901793545962945<br />
    
      a(163) = 101226492907615631461720688324605007513836420387582247201786943927481121589994786505736098096384250814910338028954907362534413<br />
    
      a(164) = 620875982502171233805673085434377262277255437891845365877061151639975673760927855407103155618809972986977886638420423636413369<br />
    
      a(165) = 3808374298434119174186776476147282552855045363090266354979962192699474216901059535253140910095932897985981945134868423514865847<br />
    
      a(166) = 23361363987235612818720199301537617501525799208437828676731784327182900451036149117824761548911393763604402537952683700668382538<br />
    
      a(167) = 143311250847990186438773236323334917045391009614865946569871316194114361276219491498812837963368098446994355719352037136765558757<br />
    
      a(168) = 879195824904591143045525552330826581945352464939017830708872668018009703425307598993569962609239165394396422425802879763529985884<br />
    
      a(169) = 5394036889802708617230367138320587128735457324569039839255952756769899049146171593315292755241152703004283206365299134283455400144<br />
    
      a(170) = 33095191772197206918460374631329652676059939104458091092524332759606241319590780761147614582869323765506907183075470571621837430310<br />
    
      a(171) = 203066517379830496023093523198809734604393540015510356179597512700490828521976735237873402699442466482487172369161314167585044128866<br />
    
      a(172) = 1246045518177030477817277873202541791259422158614578218944374557092818294847226496580997293439737262707049840402597441412427723800365<br />
    
      a(173) = 7646301276499431801299552761058234026290246561310726929541324086058434349183236351893504122392346464020052953488478068195205703568055<br />
    
      a(174) = 46923517903480408041384907039605457809513252012967906243950005760355215309243549239321667693378897751958140431230120413011870530975116<br />
    
      a(175) = 287972578142582235763368243011990969878284288890011767009670802534827368819799680622516922608410436345088614630768891913708868997077575<br />
    
      a(176) = 1767391954370241353779735745438865111922766677294150285650065404870731666736785470625237098596489111345225608489547779489586056487618427<br />
    
      a(177) = 10847646952195423293350790508548293709392165221923629175373173726360340401305429611435222590958422532825416070687389681253702641827911810<br />
    
      a(178) = 66582317128838639519136003787611507729729366411056205590147081579874942798250662004814881828184622669457969411635342169841919260709577035<br />
    
      a(179) = 408698205294481196545113665928222607141517590490407191630634799291972715466165831211871363768429166282919682378485865580410855000841055473<br />
    
      a(180) = 2508804336722905969856654112194108202147025405285010190093805472902714037329482114754279614439430095599060621385966855012105074372257303582<br />
    
      a(181) = 15401068930208444381674195029304765743957678947519581466807593087853949605609075420286888750639121074669996404990951834464218637639251355093<br />
    
      a(182) = 94548518748007706286417905772168786446058547269419889539614026904274408873843716565135842952305025905987559380286147290509078415000472315855<br />
    
      a(183) = 580467848248408540940137246943881097773054806475993915550546697671721737668761057994839396325736390310545252258270010124873891579888010479752<br />
    
      a(184) = 3563862764825487492654230542293327185004903363616002941366092427326852393180093819196963609324625066773653787181981514067056542042103846498733<br />
    
      a(185) = 21881794141461942008337636461297263604424280735739205438417523473185767134598786345592275608725603661999500628880955601679095316338543607754730<br />
    
      a(186) = 134358092968274126302709217959182953329711955934460403475721300691277008871158771316932812172766485512706838204820950844425877226694546942328951<br />
    
      a(187) = 825018103486071020766926102929390960836756851483859240397618281938195420572016812413051761631940890127969748816545418812033723967184740060700373<br />
    
      a(188) = 5066192304074665937052162987679642673772591151947197086120951277358118894700421511454568065936113274237874608930054653245197398386810568047175242<br />
    
      a(189) = 31111303813374958251312212196556530311966091204256909387748987466417374848720520426283202221731069105987733284422618276524274101767951490714913158<br />
    
      a(190) = 191061379198047272833363174518220758504343917993410113023742788188151002249423723972064940502154700986304643008288989701838114574627242923260735773<br />
    
      a(191) = 1173398612124674074842545776721689710280582358759161367433242797923877012129290029990054034882204336830193815663622072051752049126516592944994304638<br />
    
      a(192) = 7206692804805394984707014287936660569625707427060700937434758923953630681049750368359608687843704675019463696837962538414593597168054468538714926142<br />
    
      a(193) = 44263325944074903461572607185598101433455073615841011107605996072571523639927648123462093883597482639987618883916810827585672050126865858544270460083<br />
    
      a(194) = 271875134813428917933474359749359471753054608646614689199232258264264231330450810402326836531440855443908895226428768344754229470852186921701817448574<br />
    
      a(195) = 1669983458149620553423216370490763524311552827480655347681721509728375996288867017818498467644425350020780469105098217238597841782431888150036323694408<br />
    
      a(196) = 10258217589406428375187953669222333643613067943877405918118775866451124138974811773248485233177598716505551736113588070336224570848220197078861198595498<br />
    
      a(197) = 63015665730388034468290334647307619265635593591121757618524197921176204182166653565467487160069397825011364721394274341502303393464084254778161326755448<br />
    
      a(198) = 387116662302388280117040825718284912535901873584169915311396966781582540627036057930161638301065164258209709620180584215709256225975846398035079976800122<br />
    
      a(199) = 2378218463563472957569923407076890615870642948675250010871766918546461142533858140380934967012076414358685821142630145881089969835516425695196534322065338<br />
    
      a(200) = 14610934999924979081812553624752991223848205991918569643847391886054405462001062606191128585517545627547251113633312771476917715871356127497740308011891443<br />
    
      a(201) = 89767780674058833059921520135677674472949114484633956454726335198707816406272425005353988783672478172902294640266028734990475563408427596667157111513024417<br />
    
      a(202) = 551542552365608237714575739644954403282426434659210328610943581548237199096930127270220270866454839618820235952570149480901686554469532977180674282300416863<br />
    
      a(203) = 3388858686207331329995752143847612846636986958218276398448848334700914230110870539987023659777516808211992461754320397887481413286749760350034148895656576067<br />
    
      a(204) = 20823016185060950150736906892666941313072860032548345826238626006976041049269859950087390457159342620847829342839348109805301732440837122215901172767557569594<br />
    
      a(205) = 127952684783427631938047956544319922729651524919238579656116226316514314889357954912091569445591282543724906825910057699519818850220908021926506452574072408692<br />
    
      a(206) = 786268010699276390352364956496768488682597711439810995628696761832261280736187675456735110569991042473381185213615106356677841491289677701435190999762047802751<br />
    
      a(207) = 4831779411164209575263882648805404641902663617688373218053819546462162747469603052924569862143838011238441124908397170178235956732488838380127694710816481077994<br />
    
      a(208) = 29693318200326710053408741968051918866153170505662270257963156632347153569510518211080168910313764568650220928243738804016143599562935268127117649334766648046879<br />
    
      a(209) = 182484239534205180735453974521267113439253224463178838250288750410798212226049475287432050298458414354696783622965832735234078591914456541309744466573742246555127<br />
    
      a(210) = 1121519541746230223341116055755059683252063562988595391872085141657463549224662490339134123739582127992133428123297875336561249196510556144738885144478822205258023<br />
    
      a(211) = 6892916874740840384494777833773184708673774326373698668777249820828406505571460460303524400107593937610768535158356360787584775018672222823619528611495861603920221<br />
    
      a(212) = 42365643833787728344277535939685638284018826010027333968816958662601919162815674602860398641929043247034605970559941290753747773520549220963824728526207576217452380<br />
    
      a(213) = 260398823279810684538001261456270659561389953491022724098220457914593869423434851611901657895818140788821373472031112137128882297230897294850631405570081196675120410<br />
    
      a(214) = 1600584201393530376302501899593050094808937287269658171519243531770506397669993318634445510504877773937279627454164415575030621212711621079658641608155570047390450141<br />
    
      a(215) = 9838575059027004079490090867453472697435569366806456631460534077102666349173522142123537041098193114935644041467989766852945229037573922176775142365292484455136458368<br />
    
      a(216) = 60478347798824982032959126764449284127249749147223572687165383081470533155124368817552492529679312984386877976780911031322965011745320658296963783262599309187375398438<br />
    
      a(217) = 371776163457307439717638085369025618871945244813074661558667104222895199670189604378767721524708786089862308583823322783822771357253590017109271549709513472935046869122<br />
    
      a(218) = 2285477473930880934720631116185116332874488224014304153477967709815402342801251166429637477653582704874214230652762181721858367076259214736289624742278417624014985453311<br />
    
      a(219) = 14050313143555149868263019300093194936153856016706845328081293392139418899940581396673967840269203191054101156798909538272805791572952151940678731460261368999112215137420<br />
    
      a(220) = 86379083651852760508630705138577788840235381676256220458751219131698065650846070205479381133695721800325419922023172395831832346572563421953020177190018153268954800797140<br />
    
      a(221) = 531061220829064324887687315202694617843956872067436463650701924471388480011392536838100799828238843549248049004464397023266507958821772097955708233495835372670388731409845<br />
    
      a(222) = 3265080353154189680635438151289198596479371306865873249666796613245514227121586484912519910622979350950327508134090118749351679401243277667261855184277956833471453403488034<br />
    
      a(223) = 20075035678798922839364894463545653158964911193705730331251406387323868484083291829446147207563551264236294790003932323874904267498563373862552726841627010349260488481279882<br />
    
      a(224) = 123433154563255442717069652167648663072620075970099054064986784833307969233047629622091783807754506738102381332171525933064908217739553600484849597109502915115610387882359552<br />
    
      a(225) = 758962407505843066580069407134512971607819437644629229026225640701632792509450090032443597610828664346249799179767917028818848850579439898540773347405829601090061359091587495<br />
    
      a(226) = 4666825066741365922614725332508614598591680238084882378683483383222074033753922445261666627630477810703870873973655675129308002960771599778147901065950385696088668084510357163<br />
    
      a(227) = 28696933113684782815548144294818909885881947068582757632426773805287047277079231323166552513222542238981399168903137991031928276248260050308091544708025403496750454995077850053<br />
    
      a(228) = 176466407496539526812380687203590837823720039277232960417455554900123378271572670012606718793520547380437892004493465972290534236457447575576655230789271307989451640778278925531<br />
    
      a(229) = 1085178269909687391210766217619691056591372003892175739924565876302336295980567288887739221921903981695598200674184570985843088487536067000037722066258767534617094470472790511856<br />
    
      a(230) = 6673482249681305529027864448786871266708666497603428313404058607379859844487470303892806156797888597036186609537860749764233939896883243953790577672128085825825363660418582034804<br />
    
    a(n+231) = 1/296992579586723781017600*(143342688974363389947181440598059568195196293828883461075792004057447321274352*n^8+201200583275790871873961716893313077762643531887481138235631081315953621775646176*n^7+123409580013673732168933913108433072735505496822987279633935687830671592146687727446*n^6+43207103679586552315596124156825479830441640781842975605780350276008270205881752413845*n^5+9444943956258496177957421243393302158715219917362165527927293008422562450306351945141933*n^4+1320114658354621798085100978571860410826890674072517750197872143046821423253375504574312929*n^3+115217753183746785548733706533274475579838902622642242537117952459214949484751889875527635629*n^2+5741555310691071608650426242698230637671303979216543199375996346598012493256270672196842910850*n+125078039233955369994434845254101434041168607386244779904366821119969053669521194068925476566600)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+171)-1/445488869380085671526400*(84952017604473546744955211457969665489529509563171201601996323510799651022392*n^8+121900745189638030660073023057752893538658309962217611256084043175586509707387180*n^7+76348556602436075951151427044983350489988451876623759689218405099922606082804161190*n^6+27266958881123602143578814376098352961211638870425452112657379137045330036089635015723*n^5+6074565262825187955318451933255479688011519815329909586721373015020133466852135021468498*n^4+864587598175803677635127437396979541571100852340627692880071560546786110546097815980416205*n^3+76786009052494946482394927938944639549681751174465552911661819776405323629107173890347953760*n^2+3891105061272101647864839618355819072828064105936522379098633497698379122524723187458602240092*n+86148539333528441436171450585217192890960175170554629056277162995646479075667833331975193742240)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+172)+1/222744434690042835763200*(12321191697497743594479938130646614266502286735350062967045476096678191012540*n^8+18464525703681823612750925048560864035672946998985649268210501873184863331192684*n^7+12024070312892639864396645607152766196231939109726209933358453334609650657079097081*n^6+4448515844711615395760101449474106700343882933684840417302960514763482395161391222215*n^5+1023517612966369928467841803876792461647273482598532245762364992501000631367120289973745*n^4+150062819934786843546885251215940625980450794429770622444283609978683814700931914106006501*n^3+13698680575206660200261462876386921128572466793024367949117750678219155431323125436463535094*n^2+712172258775037997569198879535308630295958449557820586123335983788951925684278525315854877780*n+16149838798066761839624296265382403169301747714918865644750275424464200655057134021865895400320)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+173)-1/593985159173447562035200*(595193671962769245435186369225240619168261634040206179909795251370212664509408*n^8+821860263135172415108487297622380216011685248400951375881791182454978430746874440*n^7+496146445983229870357502359685366703570816182880651549805632081611357000945202994518*n^6+171039505316547324626739753072200210350018092426731557292254201047159236084491209218287*n^5+36829246519351431455982915656593382058083539236774057307879275921817280557474633421325102*n^4+5072416969160682154561245893905537952806923349602399127684098252899708580340903094328211225*n^3+436392813707673531833445959959399415591467091160736061951804660150368665661617868282807681152*n^2+21442551322162150817533182415119653152312362830935448207738447452439121644011754950774064211588*n+460723637733565967933014383280010380359219988274643919203007305537738070199950435641516749891760)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+170)+1/7127821910081370744422400*(22198719625542550488136719121495857929648593651419133298164511213300341252008952*n^8+32119762734352487902923677435953864313288122804903834901040596746908046286992677496*n^7+20201401824079382265981001342161749061971835636971615259490039842682105806007014104632*n^6+7219789635103576468490597225070809771076683392934874645751583817023750675639882913921853*n^5+1604829090939678418860022811486975685525719062833841975390985211527933531187602988920099413*n^4+227324562424642471936007466681234857637743138702782267644081485608208090207981017636235359489*n^3+20048674619363140325977447269895237377508123840826822354040336399157683918296013910227365697603*n^2+1006938198453582682848756888311890406884670815509595741332525543447325856889489843481757290991202*n+22057741968151367873712530958388865983596917813791441438107681861414278485593991629895432895576640)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+166)+1/7127821910081370744422400*(11465160274341400704406901342129585415295902770221576784764961735799018743673496*n^8+14370578497989120352084737515408390013550678608359724921586501599230000349474857908*n^7+78385228110452963179991091183063611186377861648138819333112080390156999666571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231360726308036092515704922206169148436746105567613578141772435063202104236016*n^7+480759901598983079597782685595696666923365380257249654147924552567541768714250003874097342*n^6+99922653318538141914800888675687686181342851162743527311285035205525239972024406136558015252*n^5+12914337821551229936666857798772183743650882984690487102983712734015487894633564669451016007293*n^4+1063457438687620072684498035874032682098834750670887102648807591150312264317329630581877119233564*n^3+54516503915505998888190465741928757218272328533704911415391564375929677779065049431814581161155748*n^2+1591333145423112562886132777432101316709149825518365004605059954964399006236212284011832142891201248*n+20257693793677925471155253989913721417518643766575766628145563748427692293245911095969953266873169920)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+96)-1/7474062987185483409703462502400*(893916953670062577781544246412754704419405792858660407555118721480178297799999681981*n^8+999111494298538432281997619792804805443147944730026465023494313086720614637859914135558*n^7+443355826813778464969484047254581192209327135648004688720240603326058098379166177053285980*n^6+106298581177413292747010626412443097078888945156311914672716826612443403977881625305155782150*n^5+15357316915548056122334398631102601005715602610800382612778303730268709233288993995678182740839*n^4+1383888221999456287833653784962083826667021047441161422522559406527484979391083276289814426466332*n^3+76463263762248188615860284642601169532370522105047601956745153456313333269547255132165799399422160*n^2+2378685875141809749710644537447088340059218378683650787792601707665345339692867327610042090538360360*n+31994445191238215887352140343628116119266362637047010217448732810612328698833206678013017046835105280)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+97)-1/7474062987185483409703462502400*(17332028854163926660844992153795349156375452100206067039529115523897*n^8+7105567876192416467006727173121568648270228186528327067200599926455328*n^7+1274489253802417163290156982368874267538372642598948364457871004321704820*n^6+130633009361272813935584984429366185078555282849880119196276058012599407658*n^5+8369006177386117157036618803674105697162810059108784195228368072110425996403*n^4+343166656857808515641751884481854244986066357820650626812204719403460308876182*n^3+8795326552008587618884695770232267789034982082742618085421413946220220120024640*n^2+128825319654018390499586438621422857579947145112721335673435380367741051580547392*n+825606462137684718572716450519583342383864077746235178521377093049254779683025920)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+50)+1/1245677164530913901617243750400*(9112469520427085901935158432294166115478851990909648008175532809437*n^8+3802350810816519753402135846109067340642760482446695758262125714677557*n^7+694163211538760196248830252278190798908345877007089965921760605681640708*n^6+72419780552916415539799618647427441171365818488824144493932086914753615710*n^5+4722427880637087261075948391376383733327541044649976777561602803867354887503*n^4+197103107069376289013006287639687118500475013036082144211031485164001373876233*n^3+5142194249234908481777254593373532366941885876320404978361187481445208586031672*n^2+76668756098632310939819575925751897364143196730933596424202833247385856697145020*n+500178284301076351642760707084034520907079922677354203035290436695879963695770240)/(n+231)/(n+230)/(n+229)/(4*n+919)/(2*n+463)/(2*n+461)/(2*n+459)/(4*n+921)*a(n+51), n >= 231<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) = 548<br />
    
      a(7) = 2806<br />
    
      a(8) = 14722<br />
    
      a(9) = 78632<br />
    
      a(10) = 425831<br />
    
      a(11) = 2331857<br />
    
      a(12) = 12887116<br />
    
      a(13) = 71776112<br />
    
      a(14) = 402441195<br />
    
      a(15) = 2269621309<br />
    
      a(16) = 12865790299<br />
    
      a(17) = 73267183677<br />
    
      a(18) = 418958818901<br />
    
      a(19) = 2404653173775<br />
    
      a(20) = 13848671920969<br />
    
      a(21) = 80004333928242<br />
    
      a(22) = 463510762665992<br />
    
      a(23) = 2692473758703363<br />
    
      a(24) = 15678477760984286<br />
    
      a(25) = 91504344947746896<br />
    
      a(26) = 535176997925701998<br />
    
      a(27) = 3136247146424363966<br />
    
      a(28) = 18413030088063254867<br />
    
      a(29) = 108291027033523433224<br />
    
      a(30) = 637920298723546150341<br />
    
      a(31) = 3763617930012974475583<br />
    
      a(32) = 22236768458293876145014<br />
    
      a(33) = 131561803729694961185067<br />
    
      a(34) = 779377175164196047507495<br />
    
      a(35) = 4622697332582082681039697<br />
    
      a(36) = 27450203752973807581998221<br />
    
      a(37) = 163182079218988159753560746<br />
    
      a(38) = 971074159028508292382929219<br />
    
      a(39) = 5784466447167103486024389430<br />
    
      a(40) = 34489320014878902429872825822<br />
    
      a(41) = 205824561801672328196946242675<br />
    
      a(42) = 1229371380206759501868801795300<br />
    
      a(43) = 7348954834539517433733980313358<br />
    
      a(44) = 43965189837008197870220418982529<br />
    
      a(45) = 263219776035256305846259538031602<br />
    
      a(46) = 1577031839476887011063480574679014<br />
    
      a(47) = 9455006244722684177894084161844009<br />
    
      a(48) = 56724462312918303080062698612930372<br />
    
      a(49) = 340529447944862026526939971135277744<br />
    
      a(50) = 2045520551857535434591630809148593297<br />
    
      a(51) = 12294409835051352632292671014443309439<br />
    
      a(52) = 73936099914119495885646945097376919352<br />
    
      a(53) = 444878355977641073533924862864571537688<br />
    
      a(54) = 2678263291682280089672037435618474922484<br />
    
      a(55) = 16131855972803543461575907853887537198869<br />
    
      a(56) = 97213533085126355027779610403633624789473<br />
    
      a(57) = 586101846803297202202112076214924206761036<br />
    
      a(58) = 3535219976826502823213589431436267266069842<br />
    
      a(59) = 21332912516049761118908726595852312001995894<br />
    
      a(60) = 128785779548845980834907823195773617653819030<br />
    
      a(61) = 777792437447097684826227696069935352362811663<br />
    
      a(62) = 4699285713485034715913428027595051463143279204<br />
    
      a(63) = 28403173475365801637578249331691655002362723726<br />
    
      a(64) = 171736879341575517278653165064726593074781664178<br />
    
      a(65) = 1038764247835429444551590062961826997866385891215<br />
    
      a(66) = 6285247882395284368455950033516120239230334249345<br />
    
      a(67) = 38043046780139723618615118664470893717657918475071<br />
    
      a(68) = 230341032141058748012736559742018857750223701576844<br />
    
      a(69) = 1395103155488083666185457182379964791390561666926215<br />
    
      a(70) = 8452328428067787279858123736741147051739112883896029<br />
    
      a(71) = 51224489484121126868023667152447869218411422273319038<br />
    
      a(72) = 310532103290492682049090407616337605587691483976475486<br />
    
      a(73) = 1883039672728555591305994791207575465483137473580506991<br />
    
      a(74) = 11421764020547639422618672370587919083825732132204005155<br />
    
      a(75) = 69298594550593675528580111588698010199702928728579926004<br />
    
      a(76) = 420562077851903309637867430145314579151292658627498294375<br />
    
      a(77) = 2552979109725123105933016553240617376900228520079278097558<br />
    
      a(78) = 15501474989277344184881127968815695090613362986621702719554<br />
    
      a(79) = 94146601903321245915592125035028992502947639313050624837704<br />
    
      a(80) = 571925540712245911394939422388957629640517227755589011459937<br />
    
      a(81) = 3475161578815982945126398870937165498501964104403629233534196<br />
    
      a(82) = 21120720341746711611654002360892557341221480929574554373319023<br />
    
      a(83) = 128392098481388559438598144709150469763225503843111685336854042<br />
    
      a(84) = 780659111721450673622300121739081393098302067077506883943357806<br />
    
      a(85) = 4747619798580150940032465508849980620766299148049319915388568366<br />
    
      a(86) = 28878835027779483799540142228420412766779500099466993497115517579<br />
    
      a(87) = 175699527673631250663750866060297673726390271111480121796367602180<br />
    
      a(88) = 1069169898327448256825035628467970627905579345079521792616403737973<br />
    
      a(89) = 6507379604724222882601333656543903466816884079474306633589747359263<br />
    
      a(90) = 39613845108463875826144163120197053323928075367252739386370910084319<br />
    
      a(91) = 241194557995036429432416530204029830299081595243915501959885321751953<br />
    
      a(92) = 1468811034880014758012832619815638812566475388027953055389942240845136<br />
    
      a(93) = 8946240907872407241561175507720562193976873485940990491791134690328430<br />
    
      a(94) = 54499167560353272435140017840903935244148907239824022384569695732143636<br />
    
      a(95) = 332056659840458917569190306876520780388022152379666322615999673255789022<br />
    
      a(96) = 2023513216727219838752525024150866221265932753874985311042866250885191995<br />
    
      a(97) = 12333034449537238234574074383869440212175489304048628178806432856124622250<br />
    
      a(98) = 75180024465632337222886753839302067164515229650233005812700388091840778934<br />
    
      a(99) = 458355253009090124416846835565983691154873640694196662568214648318915021024<br />
    
      a(100) = 2794910146322574886793913000404628198022312344940810066296092492092768601215<br />
    
      a(101) = 17045041757998665503473815293092828642781336517931990097578147015794038258419<br />
    
      a(102) = 103966064326582006099808618803708267906547156682058458404100114704385664012931<br />
    
      a(103) = 634230646407743232823550826854991600317714556097309850256706357036342021005642<br />
    
      a(104) = 3869579148253589675505697943409016404033525572525943506439937199110623801698703<br />
    
      a(105) = 23612391500439992924635691977221649090294023474319619299428148134646318132278055<br />
    
      a(106) = 144103596440022371470752917057326262721676158299472867788865782498089333159793276<br />
    
      a(107) = 879563445055434301146353201761216793520398908229900590947107000305832841639843567<br />
    
      a(108) = 5369278927030687543471887807973219140119723716017802061734996201063561162331564305<br />
    
      a(109) = 32780846604935476867734091007778630504188636508727140517361912387954601561453986839<br />
    
      a(110) = 200160678174041577836024380939860929286186665608532694162287162217591608938097844159<br />
    
      a(111) = 1222336498420668221018662113980234006354304021326378320624410644635935442779918840217<br />
    
      a(112) = 7465437419600879596298575854816010112715433220370758044057340656808658006683483969017<br />
    
      a(113) = 45600675207052683680522420586407614229300921479191762519898388594794724004306772496353<br />
    
      a(114) = 278572291981944054573395893295459957959679921908019625727526693483426862644551020964098<br />
    
      a(115) = 1701979444960937633391344609204663213860081705731053089337323755811050916768187386455692<br />
    
      a(116) = 10399670877340284506184097711807698282630971182365260040066194516788606969152497186340173<br />
    
      a(117) = 63552543233844149336259594614819403158345348950853615623528820236000671074212766886718791<br />
    
      a(118) = 388412783047459741162782765681376550725087000393722589324761488269900759234810672775353471<br />
    
      a(119) = 2374108376233828708967792674712655842739863635489340350429590286791959656928312821886294843<br />
    
      a(120) = 14512867745829557937685938380196399392975483226405352601971142462247539201553397101352772101<br />
    
      a(121) = 88725989469723833674983561964068731774454549773758014761991739323656062659102650195567002267<br />
    
      a(122) = 542491133824217520698666639393783351578128666597338812089815919113055812464908372181468167420<br />
    
      a(123) = 3317247681432580226455843305700891497527043242290490436373232223297877117467997904638517432862<br />
    
      a(124) = 20286443396573506561745779478187115506656907767538772186257272148460233775497672022724991816417<br />
    
      a(125) = 124072634305156750491117968133602952900607487695159405672610313012807438088391853202483972828728<br />
    
      a(126) = 758905150385354926736670504890541214258169454032472299083907837972450739451271977442049111007442<br />
    
      a(127) = 4642370011179665147310711137832811729001952675017141854807034950609026472375094830318550895578924<br />
    
      a(128) = 28400901254243036622778313233926567811648048776973808313308276523290905702525247210794136956502883<br />
    
      a(129) = 173765673209174242228345200475830212368523838594883209980778900818944108113320451421562515875346875<br />
    
      a(130) = 1063248406291598464371593605431343127750935525065683730826498207505934114185942123050039234845474479<br />
    
      a(131) = 6506445366109468269352814546432363742016672285795510743860346137733990459396334812170131780159821966<br />
    
      a(132) = 39819018217018317963621751743135924291891894571857143419747145277191800061462177118118987111078211356<br />
    
      a(133) = 243710619833472761710216658676586098063406802342531002574499497014273711665593880420693682452164887779<br />
    
      a(134) = 1491746240737094520363060338691660337913122545732938710216511869376116716067359031278775984186829297799<br />
    
      a(135) = 9131697133400643513445786778038792977061445799179385026022829732965030397598302198152823568692031740413<br />
    
      a(136) = 55904087715076225303461595894233764292364925684953652896270660377674067108157992151414994962639641126752<br />
    
      a(137) = 342271415131608901304066472747052337455407988003638330745091766558406345332727091005979012097079328632953<br />
    
      a(138) = 2095714840416539027114155129791060743743572872572892685462338110888353734413100001512979553012950067814358<br />
    
      a(139) = 12832986671338607037739847024454990118391208709186468671125029644752663606058755838363846417619556684685271<br />
    
      a(140) = 78588103395523949237059149680740497078857757151819368148270373025381425805979203971429016113323022418787695<br />
    
      a(141) = 481303375238328539535586545258415561403957687338781744140983117895715818788017127415501325274869327529652822<br />
    
      a(142) = 2947905626059948254677114476599373154015928326680861783724123617537593418253595487608368444990549966165110912<br />
    
      a(143) = 18056782141286180932345278706784302044837055296318133213599804879931845233662210309242168603660322405893337484<br />
    
      a(144) = 110611124601979104024072868988670733031679669468186808236326458737617896770544538704285776764123863682869423871<br />
    
      a(145) = 677623545353674899162342130975515217946871707354781082549729444900927830061913880976311724911424750140383062523<br />
    
      a(146) = 4151537551420747757996354436583151290413552567212562069168548062632706297129122386143970085942534360854905018182<br />
    
      a(147) = 25436645434036917157785386389958463275437051227975729023181124912878547792294463374184424696496633206026551681077<br />
    
      a(148) = 155862154252382171700055378531000389212754738733891620747048759652635592279377045405058948151873188881691541315925<br />
    
      a(149) = 955104921226379675957681555302372975131199711411136363317381462016642735311005587409860087563913116358502838998657<br />
    
      a(150) = 5853163647182322294713765931076965073774943314717221820945162774048683777982203450749609712018677121574471854748932<br />
    
      a(151) = 35872284844054505614489016102937581441274588447982568792611157968109429755976417620276192354896633196150871654554557<br />
    
      a(152) = 219864859360144251551102843149723367574443561178271019150105461360752765442950072133911932677570729613947569407164144<br />
    
      a(153) = 1347660948097200798301644026079590825929725886962986587152479700591400306626214124794896489746066344620953224075347749<br />
    
      a(154) = 8261009839936427333950524153984728266417190265674069146534047897170276201655172264587250592080918717977000815253055237<br />
    
      a(155) = 50642245262444636041940349760422765996850077225782096286787815828426850358647375680288753742054874225661915101716597786<br />
    
      a(156) = 310470064333908171980110054518310232180870682604319736314088078300236242710115026342907395623904748269589514136383168110<br />
    
      a(157) = 1903501108880355533969578127501621176485338312360131153186233814282523058226167883769276707093250165941296085749184931732<br />
    
      a(158) = 11671127743615196616445839264710896184543161890754071998359211876579605366261493058415370248240580419286333359653111321914<br />
    
      a(159) = 71564635909731655489375781515909127517703809916175585284002046667024916127151072925614913944152914137306240222693760122729<br />
    
      a(160) = 438843570885986541503074263971062693781556035465009692378142623027751797547608684010996355868174452596424086178966257901075<br />
    
      a(161) = 2691202183659250636888044418803519092887981864933471446512933821212466776490937456422225082023385714484683344990150219036688<br />
    
      a(162) = 16504710545748101222647233902081500202808388053536934924783639347638865374787706440812857980059419276507267760901793545962945<br />
    
      a(163) = 101226492907615631461720688324605007513836420387582247201786943927481121589994786505736098096384250814910338028954907362534413<br />
    
      a(164) = 620875982502171233805673085434377262277255437891845365877061151639975673760927855407103155618809972986977886638420423636413369<br />
    
      a(165) = 3808374298434119174186776476147282552855045363090266354979962192699474216901059535253140910095932897985981945134868423514865847<br />
    
      a(166) = 23361363987235612818720199301537617501525799208437828676731784327182900451036149117824761548911393763604402537952683700668382538<br />
    
      a(167) = 143311250847990186438773236323334917045391009614865946569871316194114361276219491498812837963368098446994355719352037136765558757<br />
    
      a(168) = 879195824904591143045525552330826581945352464939017830708872668018009703425307598993569962609239165394396422425802879763529985884<br />
    
      a(169) = 5394036889802708617230367138320587128735457324569039839255952756769899049146171593315292755241152703004283206365299134283455400144<br />
    
      a(170) = 33095191772197206918460374631329652676059939104458091092524332759606241319590780761147614582869323765506907183075470571621837430310<br />
    
      a(171) = 203066517379830496023093523198809734604393540015510356179597512700490828521976735237873402699442466482487172369161314167585044128866<br />
    
      a(172) = 1246045518177030477817277873202541791259422158614578218944374557092818294847226496580997293439737262707049840402597441412427723800365<br />
    
      a(173) = 7646301276499431801299552761058234026290246561310726929541324086058434349183236351893504122392346464020052953488478068195205703568055<br />
    
      a(174) = 46923517903480408041384907039605457809513252012967906243950005760355215309243549239321667693378897751958140431230120413011870530975116<br />
    
      a(175) = 287972578142582235763368243011990969878284288890011767009670802534827368819799680622516922608410436345088614630768891913708868997077575<br />
    
      a(176) = 1767391954370241353779735745438865111922766677294150285650065404870731666736785470625237098596489111345225608489547779489586056487618427<br />
    
      a(177) = 10847646952195423293350790508548293709392165221923629175373173726360340401305429611435222590958422532825416070687389681253702641827911810<br />
    
      a(178) = 66582317128838639519136003787611507729729366411056205590147081579874942798250662004814881828184622669457969411635342169841919260709577035<br />
    
      a(179) = 408698205294481196545113665928222607141517590490407191630634799291972715466165831211871363768429166282919682378485865580410855000841055473<br />
    
      a(180) = 2508804336722905969856654112194108202147025405285010190093805472902714037329482114754279614439430095599060621385966855012105074372257303582<br />
    
      a(181) = 15401068930208444381674195029304765743957678947519581466807593087853949605609075420286888750639121074669996404990951834464218637639251355093<br />
    
      a(182) = 94548518748007706286417905772168786446058547269419889539614026904274408873843716565135842952305025905987559380286147290509078415000472315855<br />
    
      a(183) = 580467848248408540940137246943881097773054806475993915550546697671721737668761057994839396325736390310545252258270010124873891579888010479752<br />
    
      a(184) = 3563862764825487492654230542293327185004903363616002941366092427326852393180093819196963609324625066773653787181981514067056542042103846498733<br />
    
      a(185) = 21881794141461942008337636461297263604424280735739205438417523473185767134598786345592275608725603661999500628880955601679095316338543607754730<br />
    
      a(186) = 134358092968274126302709217959182953329711955934460403475721300691277008871158771316932812172766485512706838204820950844425877226694546942328951<br />
    
      a(187) = 825018103486071020766926102929390960836756851483859240397618281938195420572016812413051761631940890127969748816545418812033723967184740060700373<br />
    
      a(188) = 5066192304074665937052162987679642673772591151947197086120951277358118894700421511454568065936113274237874608930054653245197398386810568047175242<br />
    
      a(189) = 31111303813374958251312212196556530311966091204256909387748987466417374848720520426283202221731069105987733284422618276524274101767951490714913158<br />
    
      a(190) = 191061379198047272833363174518220758504343917993410113023742788188151002249423723972064940502154700986304643008288989701838114574627242923260735773<br />
    
      a(191) = 1173398612124674074842545776721689710280582358759161367433242797923877012129290029990054034882204336830193815663622072051752049126516592944994304638<br />
    
      a(192) = 7206692804805394984707014287936660569625707427060700937434758923953630681049750368359608687843704675019463696837962538414593597168054468538714926142<br />
    
      a(193) = 44263325944074903461572607185598101433455073615841011107605996072571523639927648123462093883597482639987618883916810827585672050126865858544270460083<br />
    
      a(194) = 271875134813428917933474359749359471753054608646614689199232258264264231330450810402326836531440855443908895226428768344754229470852186921701817448574<br />
    
      a(195) = 1669983458149620553423216370490763524311552827480655347681721509728375996288867017818498467644425350020780469105098217238597841782431888150036323694408<br />
    
      a(196) = 10258217589406428375187953669222333643613067943877405918118775866451124138974811773248485233177598716505551736113588070336224570848220197078861198595498<br />
    
      a(197) = 63015665730388034468290334647307619265635593591121757618524197921176204182166653565467487160069397825011364721394274341502303393464084254778161326755448<br />
    
      a(198) = 387116662302388280117040825718284912535901873584169915311396966781582540627036057930161638301065164258209709620180584215709256225975846398035079976800122<br />
    
      a(199) = 2378218463563472957569923407076890615870642948675250010871766918546461142533858140380934967012076414358685821142630145881089969835516425695196534322065338<br />
    
      a(200) = 14610934999924979081812553624752991223848205991918569643847391886054405462001062606191128585517545627547251113633312771476917715871356127497740308011891443<br />
    
      a(201) = 89767780674058833059921520135677674472949114484633956454726335198707816406272425005353988783672478172902294640266028734990475563408427596667157111513024417<br />
    
      a(202) = 551542552365608237714575739644954403282426434659210328610943581548237199096930127270220270866454839618820235952570149480901686554469532977180674282300416863<br />
    
      a(203) = 3388858686207331329995752143847612846636986958218276398448848334700914230110870539987023659777516808211992461754320397887481413286749760350034148895656576067<br />
    
      a(204) = 20823016185060950150736906892666941313072860032548345826238626006976041049269859950087390457159342620847829342839348109805301732440837122215901172767557569594<br />
    
      a(205) = 127952684783427631938047956544319922729651524919238579656116226316514314889357954912091569445591282543724906825910057699519818850220908021926506452574072408692<br />
    
      a(206) = 786268010699276390352364956496768488682597711439810995628696761832261280736187675456735110569991042473381185213615106356677841491289677701435190999762047802751<br />
    
      a(207) = 4831779411164209575263882648805404641902663617688373218053819546462162747469603052924569862143838011238441124908397170178235956732488838380127694710816481077994<br />
    
      a(208) = 29693318200326710053408741968051918866153170505662270257963156632347153569510518211080168910313764568650220928243738804016143599562935268127117649334766648046879<br />
    
      a(209) = 182484239534205180735453974521267113439253224463178838250288750410798212226049475287432050298458414354696783622965832735234078591914456541309744466573742246555127<br />
    
      a(210) = 1121519541746230223341116055755059683252063562988595391872085141657463549224662490339134123739582127992133428123297875336561249196510556144738885144478822205258023<br />
    
      a(211) = 6892916874740840384494777833773184708673774326373698668777249820828406505571460460303524400107593937610768535158356360787584775018672222823619528611495861603920221<br />
    
      a(212) = 42365643833787728344277535939685638284018826010027333968816958662601919162815674602860398641929043247034605970559941290753747773520549220963824728526207576217452380<br />
    
      a(213) = 260398823279810684538001261456270659561389953491022724098220457914593869423434851611901657895818140788821373472031112137128882297230897294850631405570081196675120410<br />
    
      a(214) = 1600584201393530376302501899593050094808937287269658171519243531770506397669993318634445510504877773937279627454164415575030621212711621079658641608155570047390450141<br />
    
      a(215) = 9838575059027004079490090867453472697435569366806456631460534077102666349173522142123537041098193114935644041467989766852945229037573922176775142365292484455136458368<br />
    
      a(216) = 60478347798824982032959126764449284127249749147223572687165383081470533155124368817552492529679312984386877976780911031322965011745320658296963783262599309187375398438<br />
    
      a(217) = 371776163457307439717638085369025618871945244813074661558667104222895199670189604378767721524708786089862308583823322783822771357253590017109271549709513472935046869122<br />
    
      a(218) = 2285477473930880934720631116185116332874488224014304153477967709815402342801251166429637477653582704874214230652762181721858367076259214736289624742278417624014985453311<br />
    
      a(219) = 14050313143555149868263019300093194936153856016706845328081293392139418899940581396673967840269203191054101156798909538272805791572952151940678731460261368999112215137420<br />
    
      a(220) = 86379083651852760508630705138577788840235381676256220458751219131698065650846070205479381133695721800325419922023172395831832346572563421953020177190018153268954800797140<br />
    
      a(221) = 531061220829064324887687315202694617843956872067436463650701924471388480011392536838100799828238843549248049004464397023266507958821772097955708233495835372670388731409845<br />
    
      a(222) = 3265080353154189680635438151289198596479371306865873249666796613245514227121586484912519910622979350950327508134090118749351679401243277667261855184277956833471453403488034<br />
    
      a(223) = 20075035678798922839364894463545653158964911193705730331251406387323868484083291829446147207563551264236294790003932323874904267498563373862552726841627010349260488481279882<br />
    
      a(224) = 123433154563255442717069652167648663072620075970099054064986784833307969233047629622091783807754506738102381332171525933064908217739553600484849597109502915115610387882359552<br />
    
      a(225) = 758962407505843066580069407134512971607819437644629229026225640701632792509450090032443597610828664346249799179767917028818848850579439898540773347405829601090061359091587495<br />
    
      a(226) = 4666825066741365922614725332508614598591680238084882378683483383222074033753922445261666627630477810703870873973655675129308002960771599778147901065950385696088668084510357163<br />
    
      a(227) = 28696933113684782815548144294818909885881947068582757632426773805287047277079231323166552513222542238981399168903137991031928276248260050308091544708025403496750454995077850053<br />
    
      a(228) = 176466407496539526812380687203590837823720039277232960417455554900123378271572670012606718793520547380437892004493465972290534236457447575576655230789271307989451640778278925531<br />
    
      a(229) = 1085178269909687391210766217619691056591372003892175739924565876302336295980567288887739221921903981695598200674184570985843088487536067000037722066258767534617094470472790511856<br />
    
      a(230) = 6673482249681305529027864448786871266708666497603428313404058607379859844487470303892806156797888597036186609537860749764233939896883243953790577672128085825825363660418582034804<br />
    
    a{\left(n + 231 \right)} = \frac{1632202520157 n \left(n - 2\right) \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(2 n + 3\right) \left(2 n + 5\right) \left(2 n + 7\right) a{\left(n \right)}}{2715360727650045997875200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{387420489 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(2 n + 5\right) \left(2 n + 7\right) \left(2722069 n^{3} + 20519207 n^{2} + 26975407 n - 50237748\right) a{\left(n + 1 \right)}}{5430721455300091995750400 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{129140163 \left(n + 2\right) \left(n + 3\right) \left(2 n + 7\right) \left(3387756040 n^{5} + 66064758586 n^{4} + 481147213435 n^{3} + 1549726836810 n^{2} + 1861310794589 n - 753566220\right) a{\left(n + 2 \right)}}{10861442910600183991500800 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{14348907 \left(n + 3\right) \left(3802977306448 n^{7} + 125522217073528 n^{6} + 1736156396986660 n^{5} + 12970387054805548 n^{4} + 56024084474978323 n^{3} + 137806512994813669 n^{2} + 173544645583720014 n + 80389823992263720\right) a{\left(n + 3 \right)}}{10861442910600183991500800 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{\left(2579744 n^{4} + 2355953424 n^{3} + 806837729854 n^{2} + 122806488833919 n + 7009480438587900\right) a{\left(n + 230 \right)}}{80 \left(n + 231\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(244286387936 n^{6} + 333571151991792 n^{5} + 189786675977872346 n^{4} + 57589186290892837671 n^{3} + 9829647698686026670160 n^{2} + 894814375985178310893819 n + 33940323197919363920066820\right) a{\left(n + 229 \right)}}{7360 \left(n + 230\right) \left(n + 231\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{3 \left(104888843646208 n^{8} + 190642148654985600 n^{7} + 151595494823478685168 n^{6} + 68883515802801148997256 n^{5} + 19562485036695043672977346 n^{4} + 3555595968502761662679903699 n^{3} + 403906179184676907660421819281 n^{2} + 26218644481197088955927373935058 n + 744590900748124126327649792500440\right) a{\left(n + 228 \right)}}{58880 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{4782969 \left(13128022349000180 n^{8} + 573866552052962516 n^{7} + 10832455270692079283 n^{6} + 115115292054047436137 n^{5} + 751492005900505786595 n^{4} + 3076447859836538269859 n^{3} + 7679836655390932422342 n^{2} + 10622589690636454627728 n + 6173875586335005188640\right) a{\left(n + 4 \right)}}{304120401496805151762022400 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{4782969 \left(389621644730865568 n^{8} + 19968478907096172072 n^{7} + 443953030261243031928 n^{6} + 5586378874541757905172 n^{5} + 43457956286434042363857 n^{4} + 213670340157718024579278 n^{3} + 647078246256770825337827 n^{2} + 1100566853244491196108618 n + 801957295393602226719120\right) a{\left(n + 5 \right)}}{304120401496805151762022400 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(841985955937200896 n^{8} + 1523021390218225689728 n^{7} + 1205273373752191656193232 n^{6} + 545038806623500151570092280 n^{5} + 154045728801268017936412512734 n^{4} + 27864562734777389022488793596057 n^{3} + 3150178667395279805319813590264088 n^{2} + 203507519852646268036331956999575435 n + 5751805199877999108604883983015560150\right) a{\left(n + 227 \right)}}{2355200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{3 \left(348669652541829035648 n^{8} + 627381222957961844862016 n^{7} + 493886200972403204187374648 n^{6} + 222169366481145588367976050940 n^{5} + 62462799065318959538985845379882 n^{4} + 11239284139922198766139459882036179 n^{3} + 1263967342418575451438665570454837087 n^{2} + 81225985468542492860486584419994258530 n + 2283663818788706067129046019269828296000\right) a{\left(n + 226 \right)}}{37683200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{177147 \left(981999181886076065888 n^{8} + 57756409794640180597340 n^{7} + 1477863808387328916158192 n^{6} + 21472423060898073633760685 n^{5} + 193593089750825734414764662 n^{4} + 1107967408973564191567568375 n^{3} + 3926207837445328492855258698 n^{2} + 7864597448123413578874944480 n + 6805483234722978443009527680\right) a{\left(n + 6 \right)}}{1216481605987220607048089600 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{59049 \left(17052356522295428419652 n^{8} + 1138858837765739893507124 n^{7} + 33154487162543612571887987 n^{6} + 549204599248500663075367379 n^{5} + 5658262155106989305198157848 n^{4} + 37099951666787980143278083571 n^{3} + 151058619500553373583889232113 n^{2} + 348871587342281963926618166406 n + 349509964457321956026402942960\right) a{\left(n + 7 \right)}}{347566173139205887728025600 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(269090376410768921708480 n^{8} + 481944881804091241749460352 n^{7} + 377636781749472170064393686180 n^{6} + 169088009392126578709079490606020 n^{5} + 47318504907028977158126765934615275 n^{4} + 8474788284434994162146886719708366153 n^{3} + 948650828459706813610988129408178840345 n^{2} + 60679997108207411385040894211487045960915 n + 1698096832867581634247451725914181917594200\right) a{\left(n + 225 \right)}}{150732800 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{59049 \left(4676434630339019444977552 n^{8} + 353109355586735624656273684 n^{7} + 11634394798188052352932949864 n^{6} + 218357539415335456179221876131 n^{5} + 2551834081902848212871423710373 n^{4} + 19003413180371269748144935723471 n^{3} + 88007475080026258461572111185771 n^{2} + 231571062491218051866342317151954 n + 264844742643001305170281436763600\right) a{\left(n + 8 \right)}}{4865926423948882428192358400 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{6561 \left(60287438257147430767602032 n^{8} + 5105513491460603346651237656 n^{7} + 188671197145317373183478332556 n^{6} + 3971975220701316104031749046002 n^{5} + 52078168181378051170830366880583 n^{4} + 435255200130550093675177022285864 n^{3} + 2263363490547480292290976853020509 n^{2} + 6691742774531871006328833209576598 n + 8607313042512450035338799392112280\right) a{\left(n + 9 \right)}}{347566173139205887728025600 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{\left(1012089307672853597852164160 n^{8} + 1804977758818340455262363853632 n^{7} + 1408324115178511192950440763710540 n^{6} + 627906556502896787105542664410142984 n^{5} + 174971425848237059760642044176979774165 n^{4} + 31204621245387926296732957042579923568598 n^{3} + 3478166912054085406942117910445183667379985 n^{2} + 221535627725495800027824673566307302425582406 n + 6173259140756496502331883720840229171176180240\right) a{\left(n + 224 \right)}}{12661555200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(65509922886320066477092674560 n^{8} + 116341089625508271071593665747008 n^{7} + 90393467906177261862266525208618908 n^{6} + 40133103900595680274285863681611704652 n^{5} + 11136489198735023325431692755262646763185 n^{4} + 1977760325926055890486786232836047880354547 n^{3} + 219522418017196623904818926470081017763658397 n^{2} + 13923418884609662291629982761666758512899810668 n + 386358796060482759490410722588159408356561635525\right) a{\left(n + 223 \right)}}{25323110400 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{2187 \left(201622694508187327780969624772 n^{8} + 18877573849849081793613332575796 n^{7} + 771032361069162625051512382622987 n^{6} + 17937444366429047534412271514514185 n^{5} + 259888635368465514762658496144318993 n^{4} + 2400549220122650356294318753289085479 n^{3} + 13800171568569069428917144475953622328 n^{2} + 45127125808565639249480617200036908340 n + 64242512285577380377347559361281690320\right) a{\left(n + 10 \right)}}{19463705695795529712769433600 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{6561 \left(1248381116444853047419707207044 n^{8} + 127415088322990379730245743168588 n^{7} + 5672692714970519451850314631421363 n^{6} + 143862496581691862598699303642707713 n^{5} + 2272610097299531972976514385742164861 n^{4} + 22894452149780321872941410575834733887 n^{3} + 143604780517714994775690363599196168372 n^{2} + 512651767077297730650093036418460698812 n + 797258165078672679484840888318363125840\right) a{\left(n + 11 \right)}}{19463705695795529712769433600 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{\left(13072374449297549555217531045184 n^{8} + 23116383454230644635898113577375968 n^{7} + 17883940943284949016717509944705786840 n^{6} + 7906210770957984039409976340722634112156 n^{5} + 2184507005950126044847975232478291699834166 n^{4} + 386294343272916781134380613484707137770967797 n^{3} + 42693637136502694537931828673076301063879904585 n^{2} + 2696309842763449029255737881690783392411034941264 n + 74499676218215701504104096848368489818842555150160\right) a{\left(n + 222 \right)}}{202584883200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{729 \left(374737709109919479919225935285436 n^{8} + 41258050194922026407044846608643780 n^{7} + 1981870619174341600149172551167047585 n^{6} + 54244449800666856010603828450124140087 n^{5} + 925144122116581364219482201569359271799 n^{4} + 10066477125905681627772958689718565928745 n^{3} + 68233253228684169628155427075958743290900 n^{2} + 263377504540499265645823931433596607627108 n + 443166698097452855939956720835967164434320\right) a{\left(n + 12 \right)}}{38927411391591059425538867200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(1043111123891687365247629059167360 n^{8} + 1836631843007188989705335776174626080 n^{7} + 1414787933737080494763619833313424703788 n^{6} + 622762116078387108725828369080945653338636 n^{5} + 171329715439531587767576300645834655354830165 n^{4} + 30166354476876129416948362086791398595657375645 n^{3} + 3319652626344826538000720260129297173437729382987 n^{2} + 208748835950380057079907746222318819969821558990329 n + 5742925774904489934121428203121668722500486312496890\right) a{\left(n + 221 \right)}}{810339532800 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{243 \left(16627723938991373056189352536613144 n^{8} + 1960156404632814548726851361195325410 n^{7} + 100850187018503932636236505091692477814 n^{6} + 2957583514777741556505863673936422465552 n^{5} + 54069216635165203044560766688757495843741 n^{4} + 630919028490940526715778423455351958380860 n^{3} + 4588410966148509870245919196168637527188801 n^{2} + 19012920807104514440257068832143704410936998 n + 34363354331622487956160782632238892869101280\right) a{\left(n + 13 \right)}}{38927411391591059425538867200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{\left(66137738009101888736461036142131264 n^{8} + 115965878299426110963023139985828015360 n^{7} + 88958632857084645661262349769326636304900 n^{6} + 38994815336382131533783394748792410359903264 n^{5} + 10683279571267583302204989537067798327700864191 n^{4} + 1873187430597134134865119715507006475123317847760 n^{3} + 205275366870871854360564539750586612813647441312085 n^{2} + 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\right)}}{1868515746796370852425865625600 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{\left(237796585551946592723286188822774479762457344417538245414681041846218541972491474602768033 n^{8} + 241639908712542943282904862373511856418191732514337254445555193362068098060111188079644225947 n^{7} + 107398129632795035973499682503595970654647903893632669919320907197267685631457703076188201228171 n^{6} + 27269125768822238268271017959281976707547378709226811747022839327588202513551137423345887256240909 n^{5} + 4326210419390258773038108797402723628901483914119641410165851457184334922431722509612654603653597932 n^{4} + 439140242046712869413194479005347608322931514576869725079759923773965920473024514059646039890013261048 n^{3} + 27851924277562616704418349835440946881948493808075739769338794116833580990102478650629971856220551640104 n^{2} + 1009119243638115405631833783905505915199377472646018006414495876224229083497203934216196550401988149407456 n + 15991089169223741945295905903808338999294422287976137937685917734947085983625769357921903553320335894218880\right) a{\left(n + 128 \right)}}{3737031493592741704851731251200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(294656782097690306804655177123055426927865519758620910746678987079085658629752479104734205 n^{8} + 301845248335810993109842147944982804272190856115445560859900839840189808873976754497806808972 n^{7} + 135247923160079322419477010195193046283013635541125456131298318476345824028263552379181942732269 n^{6} + 34620816559406607703356129453134515363552467776668014764745858670320210910166773350577159571951351 n^{5} + 5537587651845159768042537374233692325758419427309211378595772265690262988085099787352451071004519820 n^{4} + 566732979591532651572445940073823880238802255879065508029799307237028630696571246052204773587583381853 n^{3} + 36241726090341285281065762590253750966528021644262209822649787077698577949394131364342967465863105466746 n^{2} + 1324010754406077525014206657728157537118768283565019705563367680884399574961594624924930342226902266840944 n + 21156323638799589274091287332984653519729541834089415548139819865368984573357894600919374577233491722237440\right) a{\left(n + 129 \right)}}{3737031493592741704851731251200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{\left(349379700959132701440394214577500121297149607923062532882959483183112155667886552195735334 n^{8} + 360771482965667261193424743944598332181002398880533486102446618703356831469140354191731757971 n^{7} + 162950200040189131466372170246739261888517999150408395623959078029976996279889714024545639312688 n^{6} + 42048287222184311583930885192719810813457215123324221255096958845473500770540195583289273915287428 n^{5} + 6779990652970982253192396207258352500082362487705019157999723710440409225915708668970331539531781136 n^{4} + 699512903874113773336742071829023283191388989010422018554685482446981265277676104297859427897153684409 n^{3} + 45096901760834407144374665180160473533893599330843153608082022160675327733452238957310926644864173639162 n^{2} + 1660972058134270420404581263980807171332373924815291984552373075999980538362104859702964334203544777684752 n + 26758205651850166892961828861491927013969353058529236581745679578655135934468676421850635746932639825016960\right) a{\left(n + 130 \right)}}{3737031493592741704851731251200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(365591066575752836795681349363590402290378194537848621623801142426629832555953829550418555 n^{8} + 368476974144285809403289233503077838410033289678088954039324084795330074336124586874180316274 n^{7} + 162432003355780358964146881970856595506057593501267963999221085624073588227537386238102348315476 n^{6} + 40903439882612354778744885070157269999624601565150561916938002822724439925031991036241144913030706 n^{5} + 6435607760461111687802196838129269707315396456661219358856496440259428872236814177492285709449712905 n^{4} + 647823986755715946637396270578454969222196660272639442331461094750607838102910574467092078049187387876 n^{3} + 40743498385067069880299650028347900498124925019007307095926309673212620421126044238667122998783549946104 n^{2} + 1463764574205713748102138383632045248192217992338314527830005012185323620906595527472106227425343236592904 n + 22998923452995027773550686537075649852342385138919039502879495962584386473789125976818631105243774495202720\right) a{\left(n + 127 \right)}}{7474062987185483409703462502400 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} + \frac{\left(397553021780158426506194131498240003337083995131712485045942569911672669995489967327868295 n^{8} + 413773626910020548754313940967713309840914967209218258127135900386897707190129181522299780419 n^{7} + 188376163077883977831501659461366560377553905574320669085975829270052722831865122480815460875824 n^{6} + 48996762634332410645300073205861014151734303568329365161085139408141076016056485227686893612122384 n^{5} + 7963503000855516033904665828465412244274724762169593943573195950100373722188447891857688310370447305 n^{4} + 828199748521140499450603344065234948702665132108867986539054436379721658299897859592364833145850930161 n^{3} + 53821911202807186356535039229900214308693933534208503862832694922597026528958111931215058295863357370256 n^{2} + 1998282724196735972006456111773215861859895872307051533960848631536834505337739420139903012699732771250556 n + 32452143107761607768196422860297701969129980787735437125987767405814677623703404333353233914449073411788080\right) a{\left(n + 131 \right)}}{3737031493592741704851731251200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)} - \frac{\left(434906499720473157081228072608728865872268853334546783644787543750229516990504314807237847 n^{8} + 456213838791080405917138087932943916642520607394919621530691131150794731092926779180327568187 n^{7} + 209334915811695877429040381163894694000785144597123772350137495168682052558321454605694606246174 n^{6} + 54878056801502478120092664758897214187307347531810826628055899996766900836569816702901028408023674 n^{5} + 8989942596047333296202918303270610765274118496094035193593538748939259606794243147793676477773591563 n^{4} + 942356880177537329299263002860060652230355751249372064695610209924155685425265899490904889441416220423 n^{3} + 61726745563051461944834696656448783788062624809222748707474891876511803406247218555886349988355682726736 n^{2} + 2309999468233119513986942216902509991069280975761302487929618260197082539437484010155364800205766918599556 n + 37813429425313625608888190521774356137844750348226860801877951487966543346584989153959786506376099750314160\right) a{\left(n + 132 \right)}}{3737031493592741704851731251200 \left(n + 229\right) \left(n + 230\right) \left(n + 231\right) \left(2 n + 459\right) \left(2 n + 461\right) \left(2 n + 463\right) \left(4 n + 919\right) \left(4 n + 921\right)}, \quad n \geq 231<br /><br />
  



  Specification 1<br />
  Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries<br />
  Tree: http://www.permpal.com/tree/24878/<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[12,x]*F[15,x]<br />
  
    F[15,x] = F[16,x]+F[47,x]<br />
  
    F[16,x] = F[17,x]*F[31,x]<br />
  
    F[17,x] = F[18,x]+F[29,x]<br />
  
    F[18,x] = F[10,x]+F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[10,x]*F[12,x]*F[21,x]<br />
  
    F[21,x] = 1/F[0,x]/F[12,x]*F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = -F[2,x]+F[24,x]<br />
  
    F[24,x] = F[2,x]+F[25,x]<br />
  
    F[25,x] = F[26,x]<br />
  
    F[26,x] = F[12,x]*F[27,x]<br />
  
    F[27,x] = F[18,x]+F[28,x]<br />
  
    F[28,x] = -F[0,x]+F[10,x]<br />
  
    F[29,x] = F[28,x]*F[30,x]<br />
  
    F[30,x] = 1+(F[30,x]^3-F[30,x]^2+F[30,x])*x<br />
  
    F[31,x] = -F[5,x]+F[32,x]<br />
  
    F[32,x] = 1/F[12,x]*F[33,x]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = F[35,x]+F[36,x]<br />
  
    F[35,x] = x*(1+F[35,x])*(F[35,x]^2+F[35,x]+1)<br />
  
    F[36,x] = F[37,x]<br />
  
    F[37,x] = F[12,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]+F[43,x]<br />
  
    F[39,x] = F[40,x]<br />
  
    F[40,x] = -F[0,x]+F[41,x]<br />
  
    F[41,x] = 1/F[12,x]*F[42,x]<br />
  
    F[42,x] = F[2,x]<br />
  
    F[43,x] = F[35,x]*F[44,x]<br />
  
    F[44,x] = 1/F[12,x]/F[30,x]*F[45,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[2,x]+F[36,x]<br />
  
    F[47,x] = F[27,x]*F[5,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_{12}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{10}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{0}\! \left(x \right) F_{12}\! \left(x \right)}<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{2}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{18}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{28}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = x F_{30} \left(x \right)^{3}-x F_{30} \left(x \right)^{2}+x F_{30}\! \left(x \right)+1<br />
  
    F_{31}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = x F_{35} \left(x \right)^{3}+2 x F_{35} \left(x \right)^{2}+2 F_{35}\! \left(x \right) x +x<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{42}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{35}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{12}\! \left(x \right) F_{30}\! \left(x \right)}<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{27}\! \left(x \right) F_{5}\! \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_12(x)*F_15(x))<br />
  
    Eq(F_15(x), F_16(x) + F_47(x))<br />
  
    Eq(F_16(x), F_17(x)*F_31(x))<br />
  
    Eq(F_17(x), F_18(x) + F_29(x))<br />
  
    Eq(F_18(x), F_10(x) + F_19(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_10(x)*F_12(x)*F_21(x))<br />
  
    Eq(F_21(x), F_22(x)/(F_0(x)*F_12(x)))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), -F_2(x) + F_24(x))<br />
  
    Eq(F_24(x), F_2(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x))<br />
  
    Eq(F_26(x), F_12(x)*F_27(x))<br />
  
    Eq(F_27(x), F_18(x) + F_28(x))<br />
  
    Eq(F_28(x), -F_0(x) + F_10(x))<br />
  
    Eq(F_29(x), F_28(x)*F_30(x))<br />
  
    Eq(F_30(x), x*F_30(x)**3 - x*F_30(x)**2 + x*F_30(x) + 1)<br />
  
    Eq(F_31(x), F_32(x) - F_5(x))<br />
  
    Eq(F_32(x), F_33(x)/F_12(x))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_35(x) + F_36(x))<br />
  
    Eq(F_35(x), x*(F_35(x) + 1)**3 - x*(F_35(x) + 1)**2 + (x - 1)*(F_35(x) + 1) + F_35(x) + 1)<br />
  
    Eq(F_36(x), F_37(x))<br />
  
    Eq(F_37(x), F_12(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x) + F_43(x))<br />
  
    Eq(F_39(x), F_40(x))<br />
  
    Eq(F_40(x), -F_0(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x)/F_12(x))<br />
  
    Eq(F_42(x), F_2(x))<br />
  
    Eq(F_43(x), F_35(x)*F_44(x))<br />
  
    Eq(F_44(x), F_45(x)/(F_12(x)*F_30(x)))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_2(x) + F_36(x))<br />
  
    Eq(F_47(x), F_27(x)*F_5(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_tracked_fusion_tracked_component_fusion_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.rearrange_assumption&#34;, &#34;strategy_class&#34;: &#34;RearrangeAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionFactory&#34;, &#34;tracked&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.component&#34;, &#34;strategy_class&#34;: &#34;ComponentFusionFactory&#34;, &#34;tracked&#34;: true, &#34;isolation_level&#34;: null}, {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.monotone_sliding&#34;, &#34;strategy_class&#34;: &#34;MonotoneSlidingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.point_jumping&#34;, &#34;strategy_class&#34;: &#34;AssumptionAndPointJumpingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;ComponentVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}], [{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;FusableRowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: true, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: null}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 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&#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, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [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, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], 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[[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[6, 0], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 2], [3, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4]], [[1, 3]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [2, 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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 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[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 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2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], 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&#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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{&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 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.row_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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0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 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;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;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;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], 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{&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;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, 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 0, 3]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 0, 3]], &#34;symmetry&#34;: true}}]}<br /><br />

  Specification 2<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://www.permpal.com/tree/25150/<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[12,x]*F[15,x]<br />
  
    F[15,x] = F[16,x]+F[44,x]<br />
  
    F[16,x] = F[17,x]*F[31,x]<br />
  
    F[17,x] = F[18,x]+F[29,x]<br />
  
    F[18,x] = F[10,x]+F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[10,x]*F[12,x]*F[21,x]<br />
  
    F[21,x] = 1/F[0,x]/F[12,x]*F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = -F[2,x]+F[24,x]<br />
  
    F[24,x] = F[2,x]+F[25,x]<br />
  
    F[25,x] = F[26,x]<br />
  
    F[26,x] = F[12,x]*F[27,x]<br />
  
    F[27,x] = F[18,x]+F[28,x]<br />
  
    F[28,x] = -F[0,x]+F[10,x]<br />
  
    F[29,x] = F[28,x]*F[30,x]<br />
  
    F[30,x] = 1+(F[30,x]^3-F[30,x]^2+F[30,x])*x<br />
  
    F[31,x] = -F[5,x]+F[32,x]<br />
  
    F[32,x] = 1/F[12,x]*F[33,x]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = F[35,x]+F[36,x]<br />
  
    F[35,x] = x*(1+F[35,x])*(F[35,x]^2+F[35,x]+1)<br />
  
    F[36,x] = F[37,x]<br />
  
    F[37,x] = F[12,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]+F[43,x]<br />
  
    F[39,x] = F[2,x]*F[40,x]<br />
  
    F[40,x] = F[30,x]+F[41,x]<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = F[30,x]^2*F[12,x]*F[40,x]<br />
  
    F[43,x] = F[30,x]*F[5,x]<br />
  
    F[44,x] = F[27,x]*F[5,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_{12}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{10}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{0}\! \left(x \right) F_{12}\! \left(x \right)}<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{2}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{18}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{28}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = x F_{30} \left(x \right)^{3}-x F_{30} \left(x \right)^{2}+x F_{30}\! \left(x \right)+1<br />
  
    F_{31}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = x F_{35} \left(x \right)^{3}+2 x F_{35} \left(x \right)^{2}+2 F_{35}\! \left(x \right) x +x<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{2}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{30}\! \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_{30} \left(x \right)^{2} F_{12}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{30}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{27}\! \left(x \right) F_{5}\! \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_12(x)*F_15(x))<br />
  
    Eq(F_15(x), F_16(x) + F_44(x))<br />
  
    Eq(F_16(x), F_17(x)*F_31(x))<br />
  
    Eq(F_17(x), F_18(x) + F_29(x))<br />
  
    Eq(F_18(x), F_10(x) + F_19(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_10(x)*F_12(x)*F_21(x))<br />
  
    Eq(F_21(x), F_22(x)/(F_0(x)*F_12(x)))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), -F_2(x) + F_24(x))<br />
  
    Eq(F_24(x), F_2(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x))<br />
  
    Eq(F_26(x), F_12(x)*F_27(x))<br />
  
    Eq(F_27(x), F_18(x) + F_28(x))<br />
  
    Eq(F_28(x), -F_0(x) + F_10(x))<br />
  
    Eq(F_29(x), F_28(x)*F_30(x))<br />
  
    Eq(F_30(x), x*F_30(x)**3 - x*F_30(x)**2 + x*F_30(x) + 1)<br />
  
    Eq(F_31(x), F_32(x) - F_5(x))<br />
  
    Eq(F_32(x), F_33(x)/F_12(x))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_35(x) + F_36(x))<br />
  
    Eq(F_35(x), x*(F_35(x) + 1)**3 - x*(F_35(x) + 1)**2 + (x - 1)*(F_35(x) + 1) + F_35(x) + 1)<br />
  
    Eq(F_36(x), F_37(x))<br />
  
    Eq(F_37(x), F_12(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x) + F_43(x))<br />
  
    Eq(F_39(x), F_2(x)*F_40(x))<br />
  
    Eq(F_40(x), F_30(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_12(x)*F_30(x)**2*F_40(x))<br />
  
    Eq(F_43(x), F_30(x)*F_5(x))<br />
  
    Eq(F_44(x), F_27(x)*F_5(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, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], 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{&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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{&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 3]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 2], [0, 3], [1, 3], [2, 2]], [[3, 1], [4, 0], [4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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&#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4]], [[1, 3]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], 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4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], 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4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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[[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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&#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 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{&#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;: 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 0, 3]], &#34;symmetry&#34;: false}}]}<br /><br />

  Specification 3<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://www.permpal.com/tree/25167/<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[12,x]*F[15,x]<br />
  
    F[15,x] = F[16,x]+F[47,x]<br />
  
    F[16,x] = F[17,x]*F[31,x]<br />
  
    F[17,x] = F[18,x]+F[29,x]<br />
  
    F[18,x] = F[10,x]+F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[10,x]*F[12,x]*F[21,x]<br />
  
    F[21,x] = 1/F[0,x]/F[12,x]*F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = -F[2,x]+F[24,x]<br />
  
    F[24,x] = F[2,x]+F[25,x]<br />
  
    F[25,x] = F[26,x]<br />
  
    F[26,x] = F[12,x]*F[27,x]<br />
  
    F[27,x] = F[18,x]+F[28,x]<br />
  
    F[28,x] = -F[0,x]+F[10,x]<br />
  
    F[29,x] = F[28,x]*F[30,x]<br />
  
    F[30,x] = 1+(F[30,x]^3-F[30,x]^2+F[30,x])*x<br />
  
    F[31,x] = -F[5,x]+F[32,x]<br />
  
    F[32,x] = 1/F[12,x]*F[33,x]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = F[35,x]+F[36,x]<br />
  
    F[35,x] = x*(1+F[35,x])*(F[35,x]^2+F[35,x]+1)<br />
  
    F[36,x] = F[37,x]<br />
  
    F[37,x] = F[12,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]+F[43,x]<br />
  
    F[39,x] = F[40,x]<br />
  
    F[40,x] = -F[0,x]+F[41,x]<br />
  
    F[41,x] = 1/F[12,x]*F[42,x]<br />
  
    F[42,x] = F[2,x]<br />
  
    F[43,x] = F[35,x]*F[44,x]<br />
  
    F[44,x] = 1/F[12,x]/F[30,x]*F[45,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[2,x]+F[36,x]<br />
  
    F[47,x] = F[27,x]*F[5,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_{12}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{10}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{0}\! \left(x \right) F_{12}\! \left(x \right)}<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{2}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{18}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{28}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = x F_{30} \left(x \right)^{3}-x F_{30} \left(x \right)^{2}+x F_{30}\! \left(x \right)+1<br />
  
    F_{31}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = x F_{35} \left(x \right)^{3}+2 x F_{35} \left(x \right)^{2}+2 F_{35}\! \left(x \right) x +x<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{42}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{35}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{12}\! \left(x \right) F_{30}\! \left(x \right)}<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{27}\! \left(x \right) F_{5}\! \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_12(x)*F_15(x))<br />
  
    Eq(F_15(x), F_16(x) + F_47(x))<br />
  
    Eq(F_16(x), F_17(x)*F_31(x))<br />
  
    Eq(F_17(x), F_18(x) + F_29(x))<br />
  
    Eq(F_18(x), F_10(x) + F_19(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_10(x)*F_12(x)*F_21(x))<br />
  
    Eq(F_21(x), F_22(x)/(F_0(x)*F_12(x)))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), -F_2(x) + F_24(x))<br />
  
    Eq(F_24(x), F_2(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x))<br />
  
    Eq(F_26(x), F_12(x)*F_27(x))<br />
  
    Eq(F_27(x), F_18(x) + F_28(x))<br />
  
    Eq(F_28(x), -F_0(x) + F_10(x))<br />
  
    Eq(F_29(x), F_28(x)*F_30(x))<br />
  
    Eq(F_30(x), x*F_30(x)**3 - x*F_30(x)**2 + x*F_30(x) + 1)<br />
  
    Eq(F_31(x), F_32(x) - F_5(x))<br />
  
    Eq(F_32(x), F_33(x)/F_12(x))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_35(x) + F_36(x))<br />
  
    Eq(F_35(x), x*(F_35(x) + 1)**3 - x*(F_35(x) + 1)**2 + (x - 1)*(F_35(x) + 1) + F_35(x) + 1)<br />
  
    Eq(F_36(x), F_37(x))<br />
  
    Eq(F_37(x), F_12(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x) + F_43(x))<br />
  
    Eq(F_39(x), F_40(x))<br />
  
    Eq(F_40(x), -F_0(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x)/F_12(x))<br />
  
    Eq(F_42(x), F_2(x))<br />
  
    Eq(F_43(x), F_35(x)*F_44(x))<br />
  
    Eq(F_44(x), F_45(x)/(F_12(x)*F_30(x)))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_2(x) + F_36(x))<br />
  
    Eq(F_47(x), F_27(x)*F_5(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, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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[[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 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0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: []}], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, 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2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4]], [[1, 3]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;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;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], 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0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;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, 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0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 0, 3]], &#34;symmetry&#34;: false}}]}<br /><br />

  Specification 4<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://www.permpal.com/tree/25353/<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[12,x]*F[15,x]<br />
  
    F[15,x] = F[16,x]+F[44,x]<br />
  
    F[16,x] = F[17,x]*F[31,x]<br />
  
    F[17,x] = F[18,x]+F[29,x]<br />
  
    F[18,x] = F[10,x]+F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[10,x]*F[12,x]*F[21,x]<br />
  
    F[21,x] = 1/F[0,x]/F[12,x]*F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = -F[2,x]+F[24,x]<br />
  
    F[24,x] = F[2,x]+F[25,x]<br />
  
    F[25,x] = F[26,x]<br />
  
    F[26,x] = F[12,x]*F[27,x]<br />
  
    F[27,x] = F[18,x]+F[28,x]<br />
  
    F[28,x] = -F[0,x]+F[10,x]<br />
  
    F[29,x] = F[28,x]*F[30,x]<br />
  
    F[30,x] = 1+(F[30,x]^3-F[30,x]^2+F[30,x])*x<br />
  
    F[31,x] = -F[5,x]+F[32,x]<br />
  
    F[32,x] = 1/F[12,x]*F[33,x]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = F[35,x]+F[36,x]<br />
  
    F[35,x] = x*(1+F[35,x])*(F[35,x]^2+F[35,x]+1)<br />
  
    F[36,x] = F[37,x]<br />
  
    F[37,x] = F[12,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]+F[43,x]<br />
  
    F[39,x] = F[2,x]*F[40,x]<br />
  
    F[40,x] = F[30,x]+F[41,x]<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = F[30,x]^2*F[12,x]*F[40,x]<br />
  
    F[43,x] = F[30,x]*F[5,x]<br />
  
    F[44,x] = F[27,x]*F[5,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_{12}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{10}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{0}\! \left(x \right) F_{12}\! \left(x \right)}<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{2}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{18}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{28}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = x F_{30} \left(x \right)^{3}-x F_{30} \left(x \right)^{2}+x F_{30}\! \left(x \right)+1<br />
  
    F_{31}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = x F_{35} \left(x \right)^{3}+2 x F_{35} \left(x \right)^{2}+2 F_{35}\! \left(x \right) x +x<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{2}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{30}\! \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_{30} \left(x \right)^{2} F_{12}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{30}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{27}\! \left(x \right) F_{5}\! \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_12(x)*F_15(x))<br />
  
    Eq(F_15(x), F_16(x) + F_44(x))<br />
  
    Eq(F_16(x), F_17(x)*F_31(x))<br />
  
    Eq(F_17(x), F_18(x) + F_29(x))<br />
  
    Eq(F_18(x), F_10(x) + F_19(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_10(x)*F_12(x)*F_21(x))<br />
  
    Eq(F_21(x), F_22(x)/(F_0(x)*F_12(x)))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), -F_2(x) + F_24(x))<br />
  
    Eq(F_24(x), F_2(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x))<br />
  
    Eq(F_26(x), F_12(x)*F_27(x))<br />
  
    Eq(F_27(x), F_18(x) + F_28(x))<br />
  
    Eq(F_28(x), -F_0(x) + F_10(x))<br />
  
    Eq(F_29(x), F_28(x)*F_30(x))<br />
  
    Eq(F_30(x), x*F_30(x)**3 - x*F_30(x)**2 + x*F_30(x) + 1)<br />
  
    Eq(F_31(x), F_32(x) - F_5(x))<br />
  
    Eq(F_32(x), F_33(x)/F_12(x))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_35(x) + F_36(x))<br />
  
    Eq(F_35(x), x*(F_35(x) + 1)**3 - x*(F_35(x) + 1)**2 + (x - 1)*(F_35(x) + 1) + F_35(x) + 1)<br />
  
    Eq(F_36(x), F_37(x))<br />
  
    Eq(F_37(x), F_12(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x) + F_43(x))<br />
  
    Eq(F_39(x), F_2(x)*F_40(x))<br />
  
    Eq(F_40(x), F_30(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_12(x)*F_30(x)**2*F_40(x))<br />
  
    Eq(F_43(x), F_30(x)*F_5(x))<br />
  
    Eq(F_44(x), F_27(x)*F_5(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, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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&#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 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{&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], 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[{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 3]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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&#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 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{&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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[[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], 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0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 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, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 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4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 4, 0, 2, 3], [1, 4, 0, 3, 2], [1, 4, 2, 0, 3]], &#34;symmetry&#34;: false}}]}<br /><br />

  Specification 5<br />
  Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries<br />
  Tree: http://www.permpal.com/tree/25505/<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[12,x]*F[15,x]<br />
  
    F[15,x] = F[16,x]+F[47,x]<br />
  
    F[16,x] = F[17,x]*F[31,x]<br />
  
    F[17,x] = F[18,x]+F[29,x]<br />
  
    F[18,x] = F[10,x]+F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[10,x]*F[12,x]*F[21,x]<br />
  
    F[21,x] = 1/F[0,x]/F[12,x]*F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = -F[2,x]+F[24,x]<br />
  
    F[24,x] = F[2,x]+F[25,x]<br />
  
    F[25,x] = F[26,x]<br />
  
    F[26,x] = F[12,x]*F[27,x]<br />
  
    F[27,x] = F[18,x]+F[28,x]<br />
  
    F[28,x] = -F[0,x]+F[10,x]<br />
  
    F[29,x] = F[28,x]*F[30,x]<br />
  
    F[30,x] = 1+(F[30,x]^3-F[30,x]^2+F[30,x])*x<br />
  
    F[31,x] = -F[5,x]+F[32,x]<br />
  
    F[32,x] = 1/F[12,x]*F[33,x]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = F[35,x]+F[36,x]<br />
  
    F[35,x] = x*(1+F[35,x])*(F[35,x]^2+F[35,x]+1)<br />
  
    F[36,x] = F[37,x]<br />
  
    F[37,x] = F[12,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]+F[43,x]<br />
  
    F[39,x] = F[40,x]<br />
  
    F[40,x] = -F[0,x]+F[41,x]<br />
  
    F[41,x] = 1/F[12,x]*F[42,x]<br />
  
    F[42,x] = F[2,x]<br />
  
    F[43,x] = F[35,x]*F[44,x]<br />
  
    F[44,x] = 1/F[12,x]/F[30,x]*F[45,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[2,x]+F[36,x]<br />
  
    F[47,x] = F[27,x]*F[5,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_{12}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{10}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{0}\! \left(x \right) F_{12}\! \left(x \right)}<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{2}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{18}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{28}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = x F_{30} \left(x \right)^{3}-x F_{30} \left(x \right)^{2}+x F_{30}\! \left(x \right)+1<br />
  
    F_{31}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = x F_{35} \left(x \right)^{3}+2 x F_{35} \left(x \right)^{2}+2 F_{35}\! \left(x \right) x +x<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{12}\! \left(x \right)}<br />
  
    F_{42}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{35}\! \left(x \right) F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{12}\! \left(x \right) F_{30}\! \left(x \right)}<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{27}\! \left(x \right) F_{5}\! \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_12(x)*F_15(x))<br />
  
    Eq(F_15(x), F_16(x) + F_47(x))<br />
  
    Eq(F_16(x), F_17(x)*F_31(x))<br />
  
    Eq(F_17(x), F_18(x) + F_29(x))<br />
  
    Eq(F_18(x), F_10(x) + F_19(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_10(x)*F_12(x)*F_21(x))<br />
  
    Eq(F_21(x), F_22(x)/(F_0(x)*F_12(x)))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), -F_2(x) + F_24(x))<br />
  
    Eq(F_24(x), F_2(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x))<br />
  
    Eq(F_26(x), F_12(x)*F_27(x))<br />
  
    Eq(F_27(x), F_18(x) + F_28(x))<br />
  
    Eq(F_28(x), -F_0(x) + F_10(x))<br />
  
    Eq(F_29(x), F_28(x)*F_30(x))<br />
  
    Eq(F_30(x), x*F_30(x)**3 - x*F_30(x)**2 + x*F_30(x) + 1)<br />
  
    Eq(F_31(x), F_32(x) - F_5(x))<br />
  
    Eq(F_32(x), F_33(x)/F_12(x))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_35(x) + F_36(x))<br />
  
    Eq(F_35(x), x*(F_35(x) + 1)**3 - x*(F_35(x) + 1)**2 + (x - 1)*(F_35(x) + 1) + F_35(x) + 1)<br />
  
    Eq(F_36(x), F_37(x))<br />
  
    Eq(F_37(x), F_12(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x) + F_43(x))<br />
  
    Eq(F_39(x), F_40(x))<br />
  
    Eq(F_40(x), -F_0(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x)/F_12(x))<br />
  
    Eq(F_42(x), F_2(x))<br />
  
    Eq(F_43(x), F_35(x)*F_44(x))<br />
  
    Eq(F_44(x), F_45(x)/(F_12(x)*F_30(x)))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_2(x) + F_36(x))<br />
  
    Eq(F_47(x), F_27(x)*F_5(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_tracked_fusion_tracked_component_fusion_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.rearrange_assumption&#34;, &#34;strategy_class&#34;: &#34;RearrangeAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionFactory&#34;, &#34;tracked&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.component&#34;, &#34;strategy_class&#34;: &#34;ComponentFusionFactory&#34;, &#34;tracked&#34;: true, &#34;isolation_level&#34;: null}, {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.monotone_sliding&#34;, &#34;strategy_class&#34;: &#34;MonotoneSlidingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.point_jumping&#34;, &#34;strategy_class&#34;: &#34;AssumptionAndPointJumpingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;ComponentVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}], [{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;FusableRowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: true, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: null}], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 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&#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, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [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, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [2, 0], 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[[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[6, 0], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 2], [3, 1]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4]], [[1, 3]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [2, 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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 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[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[1, 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2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], 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&#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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{&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 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.row_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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0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 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;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 2, 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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;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;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], 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{&#34;patt&#34;: [1, 0, 4, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 2, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 2, 0, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;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, 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